Differential Equations Forum

Join in expert discussion on differential equation topics like ODE and PDE. Differential equations are an equation involving derivatives of a function or functions.

Threads

Graduate How Does Scaling Work with Kummer's M Function?

  • intervoxel
  • · Replies 1 ·
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Graduate How to Use NDSolve for Wave Pulse Propagation?

  • FunkyDwarf
  • · Replies 1 ·
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Graduate What is a Physics Fight and How to Investigate Magnet Oscillations?

  • chooxani
  • · Replies 4 ·
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4

Undergrad RC circuit differential equations

  • gjfelix2001
  • · Replies 3 ·
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3

Graduate Help with Differential equation for Spherical Harmonics.

  • yungman
  • · Replies 9 ·
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9

Graduate Globally defined and unique solutions.

  • Malmstrom
  • · Replies 1 ·
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Undergrad Using NDSolve in Mathematica to Solve ODEs and Find Function Values

  • zeebo17
  • · Replies 6 ·
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6

Graduate What does the inverse Fourier transform represent in quantum scattering studies?

  • sol66
  • · Replies 1 ·
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1

Undergrad How to solve for this differential Equations Analytically

  • Marwanx
  • · Replies 1 ·
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Graduate Why are my equations giving different curves?

  • LucasGB
  • · Replies 6 ·
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6

Graduate What Does Weakly Nonlinear Mean in Wave Theory?

  • hanson
  • · Replies 3 ·
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3

Graduate Weakly nonlinear theories in electrohydrodynamics

  • hunt_mat
  • · Replies 0 ·
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Graduate Frobenius method solution for linear ODE

  • zokomoko
  • · Replies 1 ·
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Graduate Solving non-homogeneous differential equation with variable coefficients

  • ross_tang
  • · Replies 3 ·
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3

Undergrad Solving the Equation y'(x) = 1/(x^N+1)

  • Gregg
  • · Replies 30 ·
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Graduate How does Jacobian equality relate to partial differential equations?

  • psholtz
  • · Replies 2 ·
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Graduate Wave function on slope potential

  • jostpuur
  • · Replies 2 ·
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2

Graduate A system of 1st order nonlinear differential equations

  • quacam09
  • · Replies 6 ·
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6

Graduate Second opinion on ODE interpretation sought.

  • yuiop
  • · Replies 4 ·
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4

Graduate Solving SHM: Converting x(t)^2 to cos^2(wt+φ)

  • wil3
  • · Replies 4 ·
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4

Graduate What are the methods for solving y''' + y' = tan(t) 0<t<pi?

  • invisible_man
  • · Replies 6 ·
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6

Graduate System of second order linear homogenous differential coupled equations

  • qetuol
  • · Replies 8 ·
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8

Graduate Please help in integration of Associate Legendre function

  • yungman
  • · Replies 2 ·
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2

Undergrad How to Solve Non-Homogeneous ODEs with Multiple Terms?

  • benjamince
  • · Replies 4 ·
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4

Graduate Can Fourier series be differentiated term by term in the spectral method?

  • defunc
  • · Replies 1 ·
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1

Graduate Efficient Laplace Transform Solution for Sin Square Root of T

  • mechprog
  • · Replies 2 ·
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Graduate Is the Equation EI(x,t)U''''(x,t) + M(x,t)V''(x,t) Separable?

  • omarxx84
  • · Replies 13 ·
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13

Graduate Finding an exact solution using an integration factor

  • julian.irwin
  • · Replies 2 ·
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2

Graduate Nonlinear ODE System: Computing w' & Finding R

  • zokomoko
  • · Replies 8 ·
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8

Graduate Finding solution to second order non linear dif. equation with IV

  • gsarantop
  • · Replies 1 ·
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1

Graduate How Can the Spring Equation for a Chain of Springs be Solved?

  • MathematicalPhysicist
  • · Replies 3 ·
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3

Undergrad Coffee and milk (cooling/heating problem)

  • amb123
  • · Replies 14 ·
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14

Undergrad Is the question solve y'' = x^3/y a misprint?

  • Damned charming :)
  • · Replies 7 ·
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7

Undergrad First order coupled differential equations

  • knish
  • · Replies 11 ·
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11

Graduate For some reason, the syntax is not working and will not print what I

  • Void123
  • · Replies 2 ·
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2

Graduate Solving Boltzmann Equation: Guidance for Partial Differentiation

  • leoneri
  • · Replies 1 ·
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Graduate What is the inverse laplace transform of this?

  • Charles49
  • · Replies 3 ·
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Graduate Why is the characteristic of (d/dx) + (d/dt) = 0 not c = x + t?

  • Snippy
  • · Replies 1 ·
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Graduate Physical Meaning and Evaluation of Complex Integral in Heat Conduction Problems

  • JulieK
  • · Replies 2 ·
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Graduate Good Tips to Solve Non-Linear ODE

  • JoPe
  • · Replies 3 ·
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Graduate What is an invert transform and how does it relate to the hankel transform?

  • isthereaspoon
  • · Replies 1 ·
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Undergrad How Can Discontinuous Driving Functions Be Solved Without LaPlace Transforms?

  • Skrew
  • · Replies 2 ·
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Graduate How to Represent an Almost Kummer's Equation in Terms of Kummer's or Solve It?

  • intervoxel
  • · Replies 2 ·
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Graduate Reducing Order of ODE Ly with Ansatz y2: Find u to Solve

  • samleemc
  • · Replies 1 ·
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Graduate Question on orthogonal Legendre series expansion.

  • yungman
  • · Replies 4 ·
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4

High School I have 2 points are : 3,5,10 and -1,2,0. How to find equivalent for

  • santo2110
  • · Replies 3 ·
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Graduate Simple existence/uniqueness proof for Newton's 2nd?

  • Fredrik
  • · Replies 3 ·
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Graduate How Does the Rodrigues' Formula Assist in Integrating Legendre Polynomials?

  • yungman
  • · Replies 2 ·
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Graduate Second nonlinear DE for exciton diffusion

  • elfine
  • · Replies 4 ·
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4

Graduate How do you solve for P in a separable equation involving multiple variables?

  • edGeykins
  • · Replies 1 ·
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Graduate Fredholm Integral Eqn of the 2nd kind

  • gain01
  • · Replies 4 ·
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4

Graduate Appoximate a non-analytical function?

  • zeebek
  • · Replies 2 ·
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Graduate Can anyone help with eigenfunction?

  • samleemc
  • · Replies 7 ·
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7

Graduate Solving an Equation with the SSFM Method - John's Urgent Question

  • Johnbasko
  • · Replies 3 ·
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3

Undergrad Finding slope fields using Euler method

  • Philip Wong
  • · Replies 1 ·
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1

Graduate Eigenfunction: Find Eigenvalue & Function

  • samleemc
  • · Replies 4 ·
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4

Undergrad Having trouble solving this diff eq

  • travisr34
  • · Replies 1 ·
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1

Graduate What Are the Conditions for Solving f(x,t) in the Problem?

  • matteo86bo
  • · Replies 1 ·
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Graduate Solution to tensor differential equations

  • jfy4
  • · Replies 2 ·
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Graduate How to integrate the following Bessel funtion

  • oyeh727
  • · Replies 7 ·
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Graduate Reduce to ODE using separation of varialbles

  • sawan.patnaik
  • · Replies 2 ·
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2

Graduate Boundary Value Problem + Green's Function

  • sassie
  • · Replies 1 ·
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1

Graduate Behavior at zero and at infinity

  • intervoxel
  • · Replies 2 ·
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2

Undergrad How to solve recurrence relation ?

  • jjosephh
  • · Replies 22 ·
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22

Graduate How Do You Convolve Two Monomials with Non-Integer Powers?

  • Char. Limit
  • · Replies 1 ·
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1

Undergrad How to Solve Coupled Differential Equations?

  • mkrems
  • · Replies 2 ·
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2

Undergrad Finding the Separate RHS of a/b when b = b' + c

  • jobyts
  • · Replies 9 ·
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9

Graduate Laplace transform of function with independent variables OTHER than time

  • TooFastTim
  • · Replies 6 ·
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6

Graduate Hirsch and Smale Stability Definition Confusion

  • l'Hôpital
  • · Replies 2 ·
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2

Undergrad When to use 'ln' in integration?

  • Shaybay92
  • · Replies 2 ·
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2

Graduate J.J Thomson's determination of of the ratio m/e

  • nddewaters
  • · Replies 1 ·
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1

Undergrad Solving ODE: $\frac{dx}{dt}=ax(b-x)$

  • Acut
  • · Replies 4 ·
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4

Graduate Differentation of Partial Derivative with respective to high order

  • danong
  • · Replies 13 ·
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13

Graduate Can anyone explain this regarding to fourier series and bessel series expansion?

  • yungman
  • · Replies 5 ·
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5

Undergrad Ordinary differential equations involving matrices

  • ricky786
  • · Replies 1 ·
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1

Graduate Is \(\frac{\sin(x)}{x}\) Analytic at \(x = 0\)?

  • The Chaz
  • · Replies 6 ·
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6

Graduate Any idea for this nonlinear equation?

  • fery
  • · Replies 7 ·
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7

Graduate Problems with Runge-Kutta method

  • matteo86bo
  • · Replies 5 ·
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5

Graduate Solving Laplace Inversion with Erfc

  • matematikawan
  • · Replies 6 ·
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6

Graduate Divergence in spherical coordinates

  • billiards
  • · Replies 7 ·
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7

Graduate What is the proof for the Laplace transform of f(t)/t?

  • fishingspree2
  • · Replies 1 ·
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1

Graduate Challenging:How to Solve 2 Non-Linear ODEs?

  • Aloosh
  • · Replies 1 ·
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1

Graduate How Does D'alembert Solution Work in Wave Equations?

  • Niall101
  • · Replies 3 ·
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3

Graduate How Did Mathematicians Finally Solve the 140-Year-Old Boltzmann Equation?

  • fourier jr
  • · Replies 2 ·
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2

Graduate Is There a Simple Formula for the Green Function of the Klein-Gordon Equation?

  • paweld
  • · Replies 1 ·
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1

Graduate Can Hopf's Maximum Principle imply f(r) = 0 for X(r) with compact support?

  • haushofer
  • · Replies 1 ·
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1

Graduate Question on Dirichlet problem in cylinder with radial symmetry.

  • yungman
  • · Replies 4 ·
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4

Graduate Question on ODE's with roots of multiplicity.

  • Skrew
  • · Replies 5 ·
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5

Undergrad 4th order homogeneous linear ODE with constant coefficients

  • mappleby15
  • · Replies 13 ·
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13

Graduate Derivation of equation for Phase-modulation fluorescence

  • McKendrigo
  • · Replies 2 ·
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2

Graduate Exp(sin(t)) integral difficulty for 1st order ODE

  • jcx3
  • · Replies 1 ·
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1

Graduate Steps for Solving the Time Independent Schrodinger Equation for a Free Particle

  • linear_shift
  • · Replies 14 ·
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14

Graduate How do I find B using the boundary condition ux(0,t) = -Q in Laplace transforms?

  • squenshl
  • · Replies 1 ·
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1

Graduate Proof of the convolution theorem for laplace transform

  • O.J.
  • · Replies 3 ·
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3

Graduate Gerschgorins theorem in eigenvalue problem

  • raymondp44
  • · Replies 1 ·
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1

Graduate Question about Laplace(Potential) equation of disk.

  • yungman
  • · Replies 8 ·
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8

Graduate Understanding the Physical Representation of Special Cases in the Heat Equation

  • squenshl
  • · Replies 1 ·
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1

Graduate Graphing Frequency Spectrum of Signal Over Time

  • Gigasoft
  • · Replies 1 ·
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1

Graduate Heaviside Function: What is H(-x)? Fourier Transform

  • squenshl
  • · Replies 3 ·
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3

Graduate Second order nonlinear ODE - not autonomous

  • Prof_Hydro
  • · Replies 1 ·
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1