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 Unraveling the Confusion: Mistakes in Solving PDEs in Spherical Coordinates?

  • member 428835
  • · Replies 12 ·
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12

Graduate Fourier Transform for 3rd kind of boundary conditions?

  • Atr cheema
  • · Replies 1 ·
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1

Undergrad 2nd order ODE numerical solution

  • Pcmath
  • · Replies 9 ·
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9

Undergrad Need a help in solving an equation (probably differentiation

  • k.udhay
  • · Replies 2 ·
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2

Undergrad Converting a Single ODE to Matrix Form for Eigenvalue Analysis

  • SeM
  • · Replies 5 ·
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5

Double pendulum: energy function

  • mathmari
  • · Replies 6 ·
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6

Graduate Convergence order of central finite difference scheme

  • lmal
  • · Replies 7 ·
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7

Undergrad How can I analyse and classify a matrix?

  • SeM
  • · Replies 5 ·
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5

Bounded Solution For Differential Inequality

  • Roger1
  • · Replies 5 ·
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5

Integrating Factors for Solving Differential Equations

  • kayella19
  • · Replies 7 ·
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7

Graduate Understanding dummy variable in solution of 1D heat equation

  • Atr cheema
  • · Replies 6 ·
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6

Problem 13 from section 16.1 of Taylor's PDE textbook.

  • Alone
  • · Replies 1 ·
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1

Graduate Is the discretization for the PDE correct?

  • member 428835
  • · Replies 3 ·
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3

Undergrad Symmetry in differential equations

  • Getterdog
  • · Replies 3 ·
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3

Graduate What is the method for calculating the dampening of thermal oscillations?

  • James Brady
  • · Replies 5 ·
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5

Undergrad Why Does This Higher Order Derivative Equation Hold?

  • LauwranceGilbert
  • · Replies 2 ·
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2

Undergrad Three different integration schemes

  • member 428835
  • · Replies 1 ·
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1

Eugene's question via Facebook about a Differential Equation

  • Prove It
  • · Replies 2 ·
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2

Graduate Better way to find Finite Difference

  • member 428835
  • · Replies 12 ·
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12

Undergrad What happens when we replace the Dirac Delta function with a sine function?

  • Kyle Nemeth
  • · Replies 6 ·
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6

Undergrad Partial Vector Derivative: Is This the Correct Derivative of B?

  • Philosophaie
  • · Replies 3 ·
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3

Undergrad Resolution of a PDE with second order Runge-Kutta

  • Telemachus
  • · Replies 6 ·
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6

Graduate Finite difference of fourth order partial differential

  • Hypatio
  • · Replies 6 ·
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6

Graduate How can I plot a 3D phase space for a system of differential equations?

  • Aatifa
  • · Replies 4 ·
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4

Well-posedness of a complex PDE.

  • Alone
  • · Replies 5 ·
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5

Graduate Laplace equation- variable domain

  • chimay
  • · Replies 2 ·
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2

Graduate Z-coordinate shift when using elliptical integrals?

  • Helmholtzerton
  • · Replies 2 ·
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2

Determine all real valued differentiable functions f(x)+f(y)=f(xy)

  • lfdahl
  • · Replies 4 ·
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4

Particle Motion in a Vertical Plane: Trajectory Equation & Curve

  • lfdahl
  • · Replies 10 ·
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10

Undergrad Heat equation with variable coefficients

  • Telemachus
  • · Replies 15 ·
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15

Undergrad Complex representation of wave function

  • Runei
  • · Replies 2 ·
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2

Graduate [itex]L^2(-\infty, +\infty)[/itex] and LTI systems

  • solanojedi
  • · Replies 9 ·
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9

Graduate Cylindrical Poisson equation for semiconductors

  • chimay
  • · Replies 4 ·
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4

High School Simple double integration of square wave question

  • tim9000
  • · Replies 19 ·
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19

Graduate Transforming a PDE with Laplace method

  • SeM
  • · Replies 2 ·
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2

Determine the speed of the parachutist

  • kayella19
  • · Replies 3 ·
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3

Undergrad The role of the weight function for adjoint DO

  • Jianphys17
  • · Replies 3 ·
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3

Undergrad Is the Laplacian Operator Different in Radial Coordinates?

  • SeM
  • · Replies 1 ·
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1

Graduate Complex notation in telegrapher's equations

  • solanojedi
  • · Replies 2 ·
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2

Solutions to Bessel's equation with Wolfram

  • Joppy
  • · Replies 2 ·
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2

Two Balls Thrown Vertical Upward

  • mathdad
  • · Replies 36 ·
2
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36

Undergrad Separation of variables for nonhomogeneous differential equation

  • Telemachus
  • · Replies 2 ·
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2

Undergrad Question about second order linear differential equations

  • Frank Einstein
  • · Replies 6 ·
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6

Graduate Efficient Solutions for the Poisson-Boltzmann Equation in a Rectangular Domain

  • Assaf Peled
  • · Replies 3 ·
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3

Undergrad Proving Fourier Method: Decompose Wave Forms with Sines & Cosines

  • davidge
  • · Replies 1 ·
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1

Graduate Problems with identities involving Legendre polynomials

  • hunt_mat
  • · Replies 16 ·
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16

Graduate Equilibrium in system of non-linear difference equations

  • math4everyone
  • · Replies 3 ·
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3

Undergrad Sturm-Liouville theory in multiple dimensions

  • Telemachus
  • · Replies 8 ·
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8

Relative Velocity of Aircraft: Mag & Dir Before & After 16:30

  • markosheehan
  • · Replies 5 ·
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5

Find a product solution to the following PDE

  • Umar
  • · Replies 6 ·
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6

Undergrad Green's function and the evolution operator

  • redtree
  • · Replies 33 ·
2
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33

Undergrad Second order PDE with variable coefficients

  • grquanti
  • · Replies 5 ·
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5

Undergrad Substitution in partial differential equation

  • grquanti
  • · Replies 1 ·
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1

Graduate A system of partial differential equations with complex vari

  • Kyong
  • · Replies 1 ·
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1

Graduate Discretization for a fourth-order PDE (and solution)

  • maistral
  • · Replies 2 ·
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2

Undergrad Question regarding integration of an equation

  • Adgorn
  • · Replies 20 ·
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20

Undergrad What are partial differential equations?

  • awholenumber
  • · Replies 26 ·
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26

-17.2.0 Solve y''+7y'+10y=80 by undetermined coefficients.

  • karush
  • · Replies 9 ·
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9

Undergrad Free pdf for PDE on AMS Open Math Notes

  • fresh_42
  • · Replies 2 ·
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2

Graduate Some questions regarding the ADI Method

  • Telemachus
  • · Replies 1 ·
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1

Undergrad When is a Constant a Solution to a Differential Equation

  • Drakkith
  • · Replies 11 ·
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11

Undergrad Can the general solution for y in Q*y - y^P = Q - 1 be found analytically?

  • kairama15
  • · Replies 5 ·
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5

-Identify the equilibrium values y'=5\sqrt{5},y>0

  • karush
  • · Replies 2 ·
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2

Elimination of Arbitrary Constant

  • kayella19
  • · Replies 6 ·
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6

Undergrad What is the Result of this Partial Derivative

  • ecastro
  • · Replies 3 ·
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3

Undergrad Can Differential Equations with Quadratic Terms Be Solved Analytically?

  • davidge
  • · Replies 4 ·
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4

Undergrad Quick Differential Form Question

  • Drakkith
  • · Replies 5 ·
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5

Undergrad Question About Exact Differential Form

  • Drakkith
  • · Replies 7 ·
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7

Method of separation of variables

  • evinda
  • · Replies 3 ·
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3

Undergrad Laplace equation boundary conditions

  • chimay
  • · Replies 6 ·
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6

-17.2.05 by undetermined coefficients.

  • karush
  • · Replies 16 ·
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16

Graduate A system of DEs with variable coefficients.

  • inertiagrav
  • · Replies 3 ·
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3

Graduate 2D Cartesian Laplace equation with a single point diffusion

  • maistral
  • · Replies 6 ·
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6

Solving the Wave Equation: Finding $u(x,t)$

  • evinda
  • · Replies 2 ·
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2

Undergrad Independence of variables in Convolution

  • redtree
  • · Replies 1 ·
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1

Undergrad Two point boundary problem - Shooting method

  • RamosPinto
  • · Replies 8 ·
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8

-242.17.8 Solve y''-10y'+25y&=2e^{5x} by variation of parameters.

  • karush
  • · Replies 4 ·
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4

Graduate Unusual Bessel-like Differential Equation with Negative Sign

  • maistral
  • · Replies 2 ·
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2

Graduate Finite difference formulation ideas (journal verification)

  • maistral
  • · Replies 8 ·
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8

Graduate 2nd Order PDE Using Similarity Method

  • keropi452
  • · Replies 5 ·
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5

Undergrad Electrical circuit differential equation

  • Polygon
  • · Replies 7 ·
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7

Undergrad Constructing a 2nd order homogenous DE given fundamental solution

  • sagamore4110
  • · Replies 3 ·
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3

Graduate Conceptual Solution of a First Order PDE

  • Gallo
  • · Replies 3 ·
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3

Undergrad Weak Maximum Principle Explained

  • PeteSampras
  • · Replies 1 ·
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1
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2

-17.2.9 Solve \ y''-y&=2e^{-x}+3e^{2} by undetermined coefficients

  • karush
  • · Replies 4 ·
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4

-auxiliary eq for y''+9y&=5\cos{5x}

  • karush
  • · Replies 15 ·
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15

Undergrad Derivation of second order Adams-Bashforth

  • goggles31
  • · Replies 3 ·
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3

Graduate Constraining the parameter space of a function

  • spaghetti3451
  • · Replies 5 ·
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5

Find Solution to Cauchy Problem & Determine Space in $\mathbb{R}^2$

  • evinda
  • · Replies 9 ·
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9

Undergrad Uniqueness and Existence Theorm

  • Aldnoahz
  • · Replies 7 ·
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7

Undergrad What is the meaning of invariance for an equation f=0?

  • FrederikPhysics
  • · Replies 7 ·
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7

-17.2.02 - Solve 2nd order ODE using undetermined coefficients.

  • karush
  • · Replies 2 ·
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2
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3

Graduate 2D Finite Difference formulation in polar coordinates.

  • maistral
  • · Replies 4 ·
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4
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28

Graduate RK method for heat equation with dependent variables

  • maistral
  • · Replies 1 ·
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1

Undergrad 2D Laplacian in polar coordinates

  • Mayan Fung
  • · Replies 3 ·
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3

Odd & Even Extension of a Function: Explained

  • evinda
  • · Replies 4 ·
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4

Undergrad Determining the coefficient of the legendre polynomial

  • Mayan Fung
  • · Replies 2 ·
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2