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 Do You Transform and Simplify the Inverse Laplace Function 1/[s(2s^2+2s+1)]?

  • fern518
  • · Replies 1 ·
Replies
1

Graduate Numerical evaluation of modified Bessel equation

  • Morberticus
  • · Replies 1 ·
Replies
1

Graduate Polynomials, Kernels and Derivatives

  • psholtz
  • · Replies 2 ·
Replies
2

Graduate A problem with integration of modified Bessel function

  • mozam
  • · Replies 6 ·
Replies
6

Graduate Pi's connection to e, and its ubiquity in math

  • mrwl2001
  • · Replies 2 ·
Replies
2

Graduate What Is the Normal Derivative in a Sphere?

  • yungman
  • · Replies 3 ·
Replies
3

Undergrad How Can I Use Calculus to Verify This Physics Equation?

  • strawberryy
  • · Replies 2 ·
Replies
2

Graduate Unraveling Ince's Wronskian Puzzle: Linear Dependence of Minors

  • psholtz
  • · Replies 1 ·
Replies
1

Graduate 1st order PDE through Method of Characteristics

  • masnet
  • · Replies 27 ·
Replies
27

Graduate What is the next step in solving this Frobenius method problem?

  • TheFerruccio
  • · Replies 12 ·
Replies
12

Graduate How can I simplify a PDE with variable coefficients?

  • vargasjc
  • · Replies 5 ·
Replies
5

Graduate Initial speed of object sliding to a stop w/ air resistance

  • Bill M
  • · Replies 7 ·
Replies
7

Graduate How can the solution to a non-exact differential equation be derived?

  • psholtz
  • · Replies 5 ·
Replies
5

Graduate Variable coefficient Wave Equation

  • vargasjc
  • · Replies 6 ·
Replies
6

Undergrad Understanding the Equation in f'(x) Notation

  • luckis11
  • · Replies 3 ·
Replies
3

Graduate Need help for solving a set of differential eqns

  • ygrl
  • · Replies 8 ·
Replies
8

Undergrad How Do You Solve This Bernoulli Differential Equation?

  • Loadme
  • · Replies 5 ·
Replies
5

Graduate How Can I Prove the Property Function of Exponential Matrices?

  • juaninf
  • · Replies 5 ·
Replies
5

Graduate Why is my solution to this system producing strange results?

  • AlinaR
  • · Replies 1 ·
Replies
1

Graduate I am trying to plot the following numerical solutions:Input:

  • Void123
  • · Replies 5 ·
Replies
5

Graduate Can I Find a Unique Solution to the Given 2nd Order Differential Equation?

  • Darkmisc
  • · Replies 1 ·
Replies
1

Graduate Final condition instead of initial condition

  • Petr Mugver
  • · Replies 2 ·
Replies
2

Graduate 2nd ODE, Reduction of Order, Basis known

  • Darkmisc
  • · Replies 2 ·
Replies
2

Graduate Solution to Second Order Coupled PDE in x,y,z, and time

  • landon244
  • · Replies 1 ·
Replies
1

Undergrad Constant Coefficient Differential Equation

  • fa2uk
  • · Replies 5 ·
Replies
5

Undergrad How to solve recurrence relation with one real root and two complex roots ?

  • huifei
  • · Replies 1 ·
Replies
1

Graduate How to deal with this Neumann boundary conditions?

  • daz71
  • · Replies 21 ·
Replies
21

Graduate Do Singular Solutions Always Form a Boundary Around General Solutions?

  • psholtz
  • · Replies 4 ·
Replies
4

Graduate Solving 2nd Order ODE: Even Function Solution

  • omyojj
  • · Replies 2 ·
Replies
2

Graduate Integration by parts difficulties

  • falcao
  • · Replies 2 ·
Replies
2

Graduate Example of Maximum Principle for Heat Equation PDEs

  • aa1174
  • · Replies 5 ·
Replies
5

Undergrad What is the interval of definition for solutions of differential equations?

  • Ali Asadullah
  • · Replies 2 ·
Replies
2

Graduate How to Solve a Partial Differential Equation with a Laplacian Operator?

  • Petar Mali
  • · Replies 3 ·
Replies
3

Undergrad Solving 2nd Order Homogeneous Equations with Non-Constant Coefficients

  • beetle2
  • · Replies 3 ·
Replies
3

Graduate How Do You Solve a Nonlinear Differential Equation Involving Exponential Terms?

  • CJDW
  • · Replies 1 ·
Replies
1

Graduate Can You Help Solve These Complex Mathematical Equations?

  • ferry2
  • · Replies 5 ·
Replies
5

Graduate Solving a partial differential equation (Helmholtz equation)

  • Repetit
  • · Replies 7 ·
Replies
7

Graduate How can I solve the 2nd order PDE for \beta^{(0)} in geochemical thermodynamics?

  • presentt
  • · Replies 2 ·
Replies
2

Graduate Critical points of a Hamiltonian system

  • xeno_gear
  • · Replies 1 ·
Replies
1

Graduate Where Does the Equation E=p_x+\frac{p_y^2}{2m}+\frac{p_z^2}{2m} Come From?

  • Piano man
  • · Replies 5 ·
Replies
5

Graduate Linear wave equation with moving point source

  • LightningStrike
  • · Replies 5 ·
Replies
5

Graduate Numerical method to solve ODE boundary problem

  • zetafunction
  • · Replies 1 ·
Replies
1

Graduate Convolution of exp(-a*norm(x)^2) and exp(-b*norm(x)^2) ?

  • jefferson_lc
  • · Replies 1 ·
Replies
1

Graduate Separation of variables technique - When is valid? (and other questions)

  • falbani
  • · Replies 9 ·
Replies
9

Undergrad Can dy and dx in dy/dx Be Treated as Independent Variables?

  • Mesmerized
  • · Replies 5 ·
Replies
5

Graduate Is Nullcline Only Defined in Two Dimensions?

  • Pythagorean
  • · Replies 2 ·
Replies
2

Graduate Laplace Transform - Sigma+jw | Control Theory Explained

  • shankarnus
  • · Replies 3 ·
Replies
3

Undergrad Solve the given differential equations or initial-value problems

  • Marwanx
  • · Replies 3 ·
Replies
3

Graduate Question on why the book claimed Green's function =< 0.

  • yungman
  • · Replies 17 ·
Replies
17

Graduate Understanding Green's Identity: Solving Laplace Equation for Harmonic Functions

  • yungman
  • · Replies 4 ·
Replies
4

Graduate Verify Harmonic function and Laplace equation.

  • yungman
  • · Replies 3 ·
Replies
3

Undergrad Now use partial fractions on the left side.

  • beetle2
  • · Replies 7 ·
Replies
7

Graduate What is the Laplace Transform of f(x)=e^{bx}.sin ax?

  • roshan2004
  • · Replies 4 ·
Replies
4

Graduate Calculating Solutions for Second-Order Differential Equations

  • luckis11
  • · Replies 14 ·
Replies
14

Graduate Solving Difference Equations with Homogeneous and Inhomogeneous Parts?

  • FeDeX_LaTeX
  • · Replies 7 ·
Replies
7

Undergrad Constants in Second Order Differential Equation Solutions - A Simple Explanation

  • luckis11
  • · Replies 6 ·
Replies
6

Undergrad Why Do We Use lP+mQ+nR=0 in the Solution of dx/P=dy/Q=dz/R?

  • abrowaqas
  • · Replies 1 ·
Replies
1

Graduate Can partial vanishing of Poisson bracket determine local constants of motion?

  • giova7_89
  • · Replies 1 ·
Replies
1

Undergrad Where can I find practice problems for mastering Laplace transforms?

  • gobberpooper
  • · Replies 3 ·
Replies
3

Graduate Nonhomogeneous Second Order ODE containing log

  • crowy
  • · Replies 3 ·
Replies
3

Undergrad Is equation of line or curve in 3 space have to be a parametric equation?

  • yungman
  • · Replies 6 ·
Replies
6

Graduate Two dimensional Poisson's equation, Green's function technique

  • omyojj
  • · Replies 1 ·
Replies
1

Undergrad What is the meaning by a function with continuous 1st and 2nd derivatives?

  • yungman
  • · Replies 10 ·
Replies
10

Undergrad Laplace Transform - what are some applications?

  • dzimitry
  • · Replies 1 ·
Replies
1

Graduate Question about function defined in a region using Green's identities.

  • yungman
  • · Replies 6 ·
Replies
6

Graduate Coupled Differential Equations: How Do They Depend on Each Other?

  • Jwill
  • · Replies 4 ·
Replies
4

Graduate Solve Exponential Integral - Get Help Now

  • Skullmonkee
  • · Replies 6 ·
Replies
6

Undergrad Differential eq without multivariable?

  • biogoal123
  • · Replies 1 ·
Replies
1

Graduate Finding area of ellipse using line integral.

  • yungman
  • · Replies 2 ·
Replies
2

Graduate Solving Boundary Value Problems: Are Eigenvalues Equal?

  • zetafunction
  • · Replies 1 ·
Replies
1

Graduate Symmetry in Landen's transformation in elliptic integrals

  • sshzp4
  • · Replies 2 ·
Replies
2

Undergrad Can Laplace Transform Solve Differential Equations with Arbitrary Constants?

  • bfaskiplar
  • · Replies 2 ·
Replies
2

Graduate Solving Dirichlet problem using Green's identities.

  • yungman
  • · Replies 2 ·
Replies
2

Graduate (1/(x^2)) d/dx [(x^2)(dy/dx)] + y^n = 0

  • Void123
  • · Replies 1 ·
Replies
1

Graduate Cayley-Hamilton theorem for Operator

  • zetafunction
  • · Replies 1 ·
Replies
1

Graduate Verifying Bessel's Differential Equation

  • taiello805
  • · Replies 6 ·
Replies
6

Graduate Is There a Homogenous Function of Degree n < 0?

  • psholtz
  • · Replies 2 ·
Replies
2

Graduate Fourier transform of laplace operator

  • LuisVela
  • · Replies 4 ·
Replies
4

Undergrad Position as a function of time throught a varying gravitational field

  • JJfortherear
  • · Replies 2 ·
Replies
2

Graduate Help toward solving second order non-linear differential equation

  • manikandanb
  • · Replies 1 ·
Replies
1

Undergrad First order differential equations

  • missmee
  • · Replies 2 ·
Replies
2

Undergrad Separation of variables for second order DE

  • daudaudaudau
  • · Replies 2 ·
Replies
2

Undergrad Solving differential equation with a constant

  • zarei
  • · Replies 3 ·
Replies
3

Undergrad When Can't You Use the Wronskian Rule?

  • Thiendrah
  • · Replies 4 ·
Replies
4

Undergrad Dirac Delta Function: Application & Uses

  • koustov
  • · Replies 2 ·
Replies
2

Graduate Hom. heat equation in cylindrical coordinates using Fourier & Laplace transforms

  • charndt
  • · Replies 1 ·
Replies
1

Graduate How to solve this nonlinear differential equation numerically?

  • wdlang
  • · Replies 10 ·
Replies
10

Graduate Solving Blasius Equation with Fortran 77

  • carpediem85
  • · Replies 8 ·
Replies
8

Undergrad How exactly does the shooting method work?

  • Cinimod
  • · Replies 3 ·
Replies
3

Graduate Splitting PDE into system of PDEs

  • nkinar
  • · Replies 1 ·
Replies
1

Graduate Asymptotics of a linear delay integral equation

  • Mute
  • · Replies 2 ·
Replies
2

Graduate Help with System of nonlinear DEs

  • Jay Carp
  • · Replies 4 ·
Replies
4

Graduate Puzzled by A coupled system of PDEs

  • Dr_Noface
  • · Replies 1 ·
Replies
1

Graduate How to Simulate an Open Boundary in a 1D Wave Equation Solver?

  • emirs
  • · Replies 3 ·
Replies
3

Graduate The Alternating Direction Implicit Method in 2-D

  • phyzmatix
  • · Replies 3 ·
Replies
3

Graduate Hilbert Spaces for PDEs: How are they used?

  • lostidentity
  • · Replies 10 ·
Replies
10

Graduate Help with Poisson problem in a unit ball.

  • yungman
  • · Replies 1 ·
Replies
1

Graduate Is My Perturbative Solution of this Equation Correct?

  • norman86
  • · Replies 2 ·
Replies
2

Graduate How to interpret advection (v.del) v->v.(del v)

  • Monty Hall
  • · Replies 2 ·
Replies
2

Graduate Approximating unsolvable recursion relations

  • Hoplite
  • · Replies 7 ·
Replies
7