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 Stuck on second order non-linear ODE

  • LightningStrike
  • · Replies 8 ·
Replies
8

Graduate Is There a Closed-Form Solution for Attitude Update Equations?

  • adhika123
  • · Replies 8 ·
Replies
8

Graduate Solving Diffusion PDE in a Hollow Cylinder

  • wenzhe2092
  • · Replies 1 ·
Replies
1

Graduate Overdetermined SDE and other problems

  • econslc
  • · Replies 3 ·
Replies
3

Graduate Modified heat equation in n dimensions

  • nanohumans
  • · Replies 1 ·
Replies
1

Graduate Systems of Linear Homogenous Differential equations with Constant Coefficients

  • raisin_raisin
  • · Replies 1 ·
Replies
1

Graduate Solving 2nd Order ODEs w/ Variable Coefficients

  • spirally
  • · Replies 2 ·
Replies
2

Undergrad Can I solve this as a differential equation? (radioactive particles)

  • Sci-Fry
  • · Replies 4 ·
Replies
4

Graduate Integrating exp(k1*cos (t + k2)) from 0 to 2*pi

  • soren.hauberg
  • · Replies 2 ·
Replies
2

Graduate What is the jump condition in Green's function and how is it used?

  • sassie
  • · Replies 1 ·
Replies
1

Graduate Why the book call f(x+ct) and f(x-ct) odd extension of D'Alembert Method?

  • yungman
  • · Replies 3 ·
Replies
3

Undergrad Solving a Linear Differential Equation: y'''+3yy''+2y'=3x+1

  • blackblanx
  • · Replies 2 ·
Replies
2

Undergrad What is the explicit representation of 2cos(omega)t - 1/4 sin(omega)t = 0?

  • itr
  • · Replies 1 ·
Replies
1

Undergrad How to Guess the Particular Solution for y'' - 2y' + y = te^t?

  • unseenoi
  • · Replies 3 ·
Replies
3

Graduate Solving ODE with Frobenius Form Solution

  • Juggler123
  • · Replies 2 ·
Replies
2

Graduate Solving the PDE 1-d Heat Equation for a Flipped Rod

  • mskisoc
  • · Replies 4 ·
Replies
4

Graduate Solving Fick's Law by Finite Difference Method

  • Stefanie
  • · Replies 2 ·
Replies
2

Undergrad Solving Differential Equations: Techniques and Methods

  • der.physika
  • · Replies 2 ·
Replies
2

Graduate Fourier Series Transform Proof Help

  • evotunedscc
  • · Replies 3 ·
Replies
3

Graduate How to prove uniqueness (or non-uniqueness) of solution

  • JustinLevy
  • · Replies 1 ·
Replies
1

Graduate How to integrate an ordinary differential equation around a singular point?

  • wdlang
  • · Replies 3 ·
Replies
3

Undergrad Solution to ordinary differential equation

  • monty37
  • · Replies 4 ·
Replies
4

Graduate How Can I Transform My O.D.E. into Sturm-Liouville Form?

  • kalphakomega
  • · Replies 3 ·
Replies
3

Undergrad Is D'Alambert solution important for studying PDE?

  • yungman
  • · Replies 1 ·
Replies
1

Graduate Help How to get green function of Bessel's differential equation?

  • inflaton
  • · Replies 2 ·
Replies
2

Undergrad Can I Handle Tenenbaum/Pollard's ODE Book After Calc III?

  • sponsoredwalk
  • · Replies 1 ·
Replies
1

Undergrad Is this equation solvable and if so, how?

  • MecEngStudent
  • · Replies 3 ·
Replies
3

Graduate Question of damping vibrating strings

  • yungman
  • · Replies 10 ·
Replies
10

Graduate Can Numerical Methods Handle Highly Oscillatory Solutions?

  • zetafunction
  • · Replies 1 ·
Replies
1

Graduate Bessel Differential Equation With Log

  • masqau
  • · Replies 12 ·
Replies
12

Graduate Is the following gauge transformation possible?

  • Marin
  • · Replies 4 ·
Replies
4

Undergrad Please show me a solution to the differential equation

  • edgepflow
  • · Replies 3 ·
Replies
3

Graduate Solving 1d Helmholtz with boundary conditions

  • ptptaylor
  • · Replies 4 ·
Replies
4

Graduate Is the Laplacian of a Function Simply the Trace of its Hessian Matrix?

  • icurays1
  • · Replies 5 ·
Replies
5

Graduate Total absorption through medium along ray

  • cronusf
  • · Replies 1 ·
Replies
1

Graduate How Do You Solve a Second-Order Linear PDE with Given Boundary Conditions?

  • pablo4429
  • · Replies 1 ·
Replies
1

Graduate How to Solve the Integral of x^3*J3(x)?

  • jaron_denson
  • · Replies 2 ·
Replies
2

Graduate Question regarding D'Alembert solution for one dimension wave equation

  • yungman
  • · Replies 7 ·
Replies
7

Graduate Solve the follow diferential equation

  • alejandrito29
  • · Replies 6 ·
Replies
6

Undergrad Excel Numerical Integration for Piston Movement Calculation

  • a.mlw.walker
  • · Replies 7 ·
Replies
7

Graduate Derivative Identity in Bloch's Theorem

  • ian2012
  • · Replies 1 ·
Replies
1

Graduate Meaning of \delta in Implicit Functions

  • Moonspex
  • · Replies 8 ·
Replies
8

Graduate Doing 3 second order differential equations numerically

  • WraithM
  • · Replies 4 ·
Replies
4

Graduate How can you solve the PDE using analytical techniques and LaTex code?

  • Geoffrey
  • · Replies 1 ·
Replies
1

Graduate Identifying the Type of PDE and Methods for Solving It

  • alokgautam
  • · Replies 7 ·
Replies
7

Graduate What Does the Notation \(\frac{\partial u}{\partial t}(x,0)\) Indicate in PDEs?

  • yungman
  • · Replies 3 ·
Replies
3

Graduate Nonlinear ODE with Hint: Solving for x and y

  • Kranz
  • · Replies 2 ·
Replies
2

Graduate Could someone Please help with DIMENSIONLESS VARIABLES.

  • juice34
  • · Replies 1 ·
Replies
1

Graduate How do I solve the Brachistochrone Problem with a given differential equation?

  • 930R93
  • · Replies 1 ·
Replies
1

Graduate How Do You Derive the Second Solution for Legendre Polynomials?

  • h.a.y.l.e.y
  • · Replies 6 ·
Replies
6

Undergrad Numerical differentiation using forward, backward and central finite difference

  • Pricey89
  • · Replies 2 ·
Replies
2

Graduate Solving (1/α) * dT/dt for Exact Analytical Solution

  • revenant
  • · Replies 20 ·
Replies
20

Undergrad Any Errors in My Differential Equation for a Leaking and Refilling Container?

  • SidVicious
  • · Replies 3 ·
Replies
3

Graduate Is Y=a+b a Solution to the Laplace Equation Given Boundary Conditions?

  • member 141513
  • · Replies 1 ·
Replies
1

Graduate Can the Inverse Scattering Transform Solve PDEs?

  • saravanan13
  • · Replies 1 ·
Replies
1

Graduate What makes uiv = u a 4th-order ODE?

  • bravelittlemu
  • · Replies 8 ·
Replies
8

Graduate Solving Population Decline: Differential Equation with Birth and Death Rates

  • scarlets99
  • · Replies 1 ·
Replies
1

Graduate Laser rate equation(ODE) simulation problem

  • oronno
  • · Replies 21 ·
Replies
21

Graduate Legendre Differential equation question.

  • yungman
  • · Replies 14 ·
Replies
14

Undergrad Separation of Variable - What's REALLY going on?

  • MaxL
  • · Replies 2 ·
Replies
2

Graduate Finding A for B Using Gradient and Curl

  • Zhivago
  • · Replies 5 ·
Replies
5

Undergrad Solving Non-Separable ODEs: A Beginner's Guide to Differential Equations

  • sporff
  • · Replies 6 ·
Replies
6

Graduate Why e-Integral Factor Omits Constant Integral?

  • bennyska
  • · Replies 2 ·
Replies
2

Graduate 1D advection with damping/forcing

  • Tunneller
  • · Replies 2 ·
Replies
2

Graduate Question on Rodrigues' equation in Legendre polynomials.

  • yungman
  • · Replies 2 ·
Replies
2

Graduate Coupled non linear ordinary differential equations.

  • rkrsnan
  • · Replies 1 ·
Replies
1

Graduate Solving 1D 2-particle/2D 1-particle Schrodinger equation

  • El Hombre Invisible
  • · Replies 1 ·
Replies
1

Graduate Can I solve the discreate ODE by considering the continuous case?

  • KFC
  • · Replies 1 ·
Replies
1

Graduate How Can Surface Evolver Software Help in Solving PDEs?

  • alokgautam
  • · Replies 4 ·
Replies
4

Graduate How Do I Solve This Complex ODE Involving y''+C1*y^2+C2*y=0?

  • hyime
  • · Replies 6 ·
Replies
6

Graduate Laplace Transform of Composition of Functions: Floor(f(t))

  • Nocturne
  • · Replies 3 ·
Replies
3

Undergrad What do the primes mean in this differential equation?

  • FredericGos
  • · Replies 4 ·
Replies
4

Graduate Next set of PDE, which presents fluid flow

  • jangolobow
  • · Replies 3 ·
Replies
3

Graduate Help with Vector Analysis in spherical velocity-space coordinates

  • phrozenfearz
  • · Replies 13 ·
Replies
13

Graduate Dirac Delta Function: Definition & Samples

  • EngWiPy
  • · Replies 1 ·
Replies
1

Undergrad Solve ODE Dilution Problem: 400-400e

  • tickle_monste
  • · Replies 1 ·
Replies
1

Graduate Problem with first-order nonlinear ordinary differential equation

  • bobey
  • · Replies 2 ·
Replies
2

Graduate Regarding Inverse Laplace Transforms

  • flouran
  • · Replies 2 ·
Replies
2

Undergrad Is This ODE Linear or Non-Linear?

  • rpardo
  • · Replies 2 ·
Replies
2

Graduate Navier stokes and pressure on objects

  • Halitus
  • · Replies 3 ·
Replies
3

Undergrad Classifying DiffEq: 3x+1=4t, Identify Homogeneous Parts

  • Freyster98
  • · Replies 1 ·
Replies
1

Graduate The largest interval for which a certain solution is unique

  • Juggler123
  • · Replies 1 ·
Replies
1

Undergrad General solution to a simple ODE

  • brollysan
  • · Replies 2 ·
Replies
2

Graduate A set of two 2nd order linear ode

  • omyojj
  • · Replies 1 ·
Replies
1

Undergrad Linear ODE Non-constant coefficient

  • jschmid2
  • · Replies 3 ·
Replies
3

Graduate Temperature distribution on a circular plate

  • zi-lao-lan
  • · Replies 2 ·
Replies
2

Graduate Numerical Solution for Coupled Differential Equations using Runge-Kutta Method

  • choppu
  • · Replies 7 ·
Replies
7

Undergrad Is this a correct solution ? to ax'' = 0

  • Cypeq
  • · Replies 1 ·
Replies
1

Undergrad What is the second derivative of a given function with a constant value?

  • bokche
  • · Replies 3 ·
Replies
3

High School How to factorize x^4 + x^3 + 2.01 x^2 + 0.01 x + 0.01 = 0?

  • logix88
  • · Replies 3 ·
Replies
3

Graduate Laplacian of 1/r is zero at orign

  • thrillhouse86
  • · Replies 6 ·
Replies
6

Graduate Laplace transform: function defined by parts

  • libelec
  • · Replies 2 ·
Replies
2

Undergrad Help Solving ODE: 5x2y2 - 2x3y2 = 1

  • b3n5p34km4n
  • · Replies 1 ·
Replies
1

Undergrad Acceleration to be in m/s^2 and integrate w.r.t. x

  • negatifzeo
  • · Replies 3 ·
Replies
3

Undergrad Spring mass spring mass spring - 2 balls oscillations

  • mmatras
  • · Replies 1 ·
Replies
1

Graduate Issue with Green's function for Poisson's equation

  • Hoplite
  • · Replies 1 ·
Replies
1

Graduate Solution of the 2nd-order pde u_t=u_xy

  • pep2010
  • · Replies 1 ·
Replies
1

Graduate Sturm-Liouville Problem: conditions over the coefficients

  • libelec
  • · Replies 5 ·
Replies
5

Graduate How to Solve a First-Order Nonlinear PDE using the Method of Characteristics?

  • Eren10
  • · Replies 2 ·
Replies
2

Graduate (ODE45) problem of solving laser rate equation

  • tianyihitedu
  • · Replies 2 ·
Replies
2