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 to Apply Runge-Kutta to a 2nd Order ODE?

  • hsong9
  • · Replies 3 ·
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3

Graduate Confused about the theory behind Frobenius' Method

  • nonequilibrium
  • · Replies 1 ·
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1

Graduate Modeling this differential equation

  • ramb
  • · Replies 2 ·
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2

Graduate Dirichlet's problem is ill posed

  • pdegenius
  • · Replies 1 ·
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1

Graduate How to Find an Integrating Factor for an Inexact Differential Equation?

  • heinerL
  • · Replies 1 ·
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1

Undergrad Laplace transform for system DFE

  • wxrebecca
  • · Replies 8 ·
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8

Graduate How to Model Fish Population Dynamics Using First Order Differential Equations?

  • HerpaDerp
  • · Replies 1 ·
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1

Graduate General solution to third order differential equation

  • warfreak131
  • · Replies 1 ·
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1

Graduate 2nd order nonlinear differential equation

  • fatimajan
  • · Replies 20 ·
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20

Graduate Solving Odd Elliptic Equation with Greens Functions

  • hunt_mat
  • · Replies 7 ·
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7

Graduate Equation simplifies if a certain parameter is small

  • Derivator
  • · Replies 4 ·
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4

Graduate How to solve this coupled nonlinear equation?

  • blenx
  • · Replies 1 ·
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1

Graduate Method of Frobenius with exponential coefficients

  • phil ess
  • · Replies 1 ·
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1

Graduate Solve Electrical Circuit Problem: Particular Solution

  • palaszz
  • · Replies 2 ·
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2

Undergrad How can I solve a system of differential equations with a specific form?

  • cesca
  • · Replies 8 ·
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8

Undergrad Can Euler's Method Solve y'=y/x with Initial Conditions?

  • lydia_zhu
  • · Replies 1 ·
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1

Graduate First Order Differential Equation in Cylindrical Coordinates

  • Auburnman
  • · Replies 2 ·
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2

Graduate Change of variables in Seocnd order ODES

  • phil ess
  • · Replies 1 ·
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1

Graduate Random Forced Exponential Diff Equations

  • Gspace
  • · Replies 1 ·
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1

Graduate Frobenius power series repeated roots

  • John777
  • · Replies 1 ·
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1

Graduate Solving y"+9y=H(t-1) with Laplace Transform

  • Fibonacci
  • · Replies 1 ·
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1

Graduate [Numerical] Euler Backward method

  • Nick89
  • · Replies 15 ·
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15

Undergrad Whats a non-trivial linear combination of these functions?

  • warfreak131
  • · Replies 6 ·
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6

Undergrad Please verfiy this differential substitution is mathamatically legal

  • John777
  • · Replies 1 ·
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1

Undergrad Can Differential Equations Be Used to Create Art?

  • alexkiddo
  • · Replies 1 ·
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1

Undergrad How to prove the derivatives of powers?

  • Owen-
  • · Replies 7 ·
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7

Graduate Finite difference terms for boundaries

  • hunt_mat
  • · Replies 0 ·
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0

Graduate What is the meaning of LaPlace and Poisson's equation in English?

  • yungman
  • · Replies 3 ·
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3

Undergrad These methods are widely used in both academic and real world applications.

  • PumkinMonster
  • · Replies 1 ·
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1

Undergrad Simple Differential Equation: Finding General Solution for y'\cos(x) = \sin(2x)

  • FeDeX_LaTeX
  • · Replies 3 ·
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3

Graduate Can Non-linear Systems be Solved Analytically?

  • arnold4life
  • · Replies 13 ·
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13

Undergrad Solving Differential Equations: the Euler D.E. and Linear D.E.s

  • Funzies
  • · Replies 2 ·
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2

Graduate Perturbation theory and asymptotics

  • Juggler123
  • · Replies 2 ·
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2

Graduate Differential Algebra: Converting d(v+(dv/dr)dr)/dr

  • tomyuey938
  • · Replies 1 ·
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1

Graduate Method of Images - Green's Function

  • OliviaB
  • · Replies 1 ·
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1

Graduate Can the Non-Homogenous Heat Equation be Solved Using Eigenfunctions?

  • JoernE
  • · Replies 6 ·
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6

Graduate Understanding Laplace transforms.

  • Urmi Roy
  • · Replies 21 ·
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21

Graduate Solving Second-Order ODE: Transformation & Choosing s(x)

  • gankutsuou7
  • · Replies 1 ·
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1

Undergrad How do you model a spring and damper in series?

  • cstoos
  • · Replies 1 ·
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1

Graduate Critical Points and Differential Equations Helppp

  • vinverth
  • · Replies 1 ·
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1

Graduate Laplace Transforms (First Order DE with Initial Value)

  • cas159
  • · Replies 4 ·
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4

Undergrad When is a simple assumption not so simple?

  • ngm01
  • · Replies 2 ·
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2

Graduate Coupled ODE with missing connecting derivatives

  • FrankST
  • · Replies 4 ·
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4

Graduate Asymptotic behaviour of bessel functions

  • lavster
  • · Replies 1 ·
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1

Undergrad Integration bessel function (simple)

  • lavster
  • · Replies 2 ·
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2

Undergrad Solve Differential Equations problem

  • norrin rad
  • · Replies 1 ·
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1

Undergrad Need help to solve y'=(x^2+y^2)^(3/2)

  • pociners
  • · Replies 6 ·
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6

Graduate Solution of differential equation

  • 2rashmi1993
  • · Replies 2 ·
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2

Graduate Continuity of partial derivatives

  • Shaybay92
  • · Replies 1 ·
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1

Undergrad Theoretical Question: how can complex solutions be allowed?

  • nonequilibrium
  • · Replies 1 ·
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1

Graduate Solving a non-homogeneous ODE with Bessel functions?

  • TheJCBand
  • · Replies 1 ·
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1

Graduate Existential Proof of a Unique Solution to a Set of Non-Linear Equations

  • natski
  • · Replies 3 ·
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3

Graduate (y')^2+y^2=-2 why this equation has no general solution ?

  • young_eng
  • · Replies 4 ·
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4

Graduate Linear Differential Equation: when x=x(y)

  • rygza
  • · Replies 3 ·
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3

Undergrad Where Can I Find Specific and General Solutions for ODEs?

  • young_eng
  • · Replies 11 ·
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11

Graduate How Can I Evaluate Integrals Involving Hankel Functions?

  • spainchaud
  • · Replies 2 ·
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2

Graduate Can anyone solve this 1st order nonlinear ODE with constants a and b?

  • all015
  • · Replies 7 ·
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7

Graduate Help with PDE: F(t)g(r)+V/R Derivative

  • matteo86bo
  • · Replies 1 ·
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1

Undergrad Need help with ODE applicaiton questions

  • srk999
  • · Replies 1 ·
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1

Undergrad Laplace Transform ODE Solving: y'' + 2y' + y = 0 with Initial Conditions

  • IAmClifford
  • · Replies 5 ·
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5

Undergrad Intuitive understanding of convolution?

  • filter54321
  • · Replies 1 ·
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1

Undergrad Handling dx/dt as an ordinary fraction?

  • jafisika
  • · Replies 6 ·
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6

Graduate Non-linear Differential Equation - Pulling my Hair

  • jkent
  • · Replies 4 ·
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4

Undergrad Analytically Solving a Differential Equation with Constants a, b, and c

  • fatimajan
  • · Replies 8 ·
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8

Graduate Can someone tell me exactly where my simple logic breaks down? (infinity \neq 1)

  • nonequilibrium
  • · Replies 10 ·
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10

Graduate Understanding Bifurcation Points in the Function dy/dt = y^3 + ay^2

  • sammycaps
  • · Replies 1 ·
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1

Graduate Solving ODE with Neumann Boundary: Finite Differences Method

  • dinaharchery
  • · Replies 1 ·
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1

Undergrad Why is the right side called the input?

  • maxbashi
  • · Replies 2 ·
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2

Graduate No Constant Solution => No periodic solution

  • cacosomoza
  • · Replies 1 ·
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1

Graduate Mathematica: 2nd order PDE variable coefficients

  • hasidim
  • · Replies 1 ·
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1

Graduate Understanding and Solving ODEs with Inhomogeneous Boundary Conditions

  • StewartHolmes
  • · Replies 1 ·
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1

Graduate Help with solving a first order linear and first order non-linear

  • Xyius
  • · Replies 4 ·
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4

Graduate Flicks diffusion equation - metabolism rate

  • gladerider
  • · Replies 1 ·
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1

Undergrad Solve Recursion Equation: f(x)=-f(x-1)+g(x)

  • Marth361
  • · Replies 3 ·
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3

Graduate Solving the simples Partial Differential Equations

  • theneedtoknow
  • · Replies 1 ·
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1

Graduate Two coupled Sturm-Liouville Eigenvalue Problems in 2-D

  • Urkel
  • · Replies 2 ·
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2

Graduate Laplace transform physical meaning

  • psmitty
  • · Replies 1 ·
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1

Undergrad Solve Equation of Motion for Spring Damper System

  • 14850842
  • · Replies 3 ·
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3

Graduate General Method of Characteristics Problem

  • ZachN
  • · Replies 4 ·
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4

Undergrad Finding the degree of a deferential equation

  • cindrilla
  • · Replies 19 ·
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19

Graduate Maximum principle for Delta u >0

  • loesung
  • · Replies 2 ·
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2

High School Understanding the Difference between \Delta x and dx in Differential Calculus

  • yuiop
  • · Replies 7 ·
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7

Undergrad Which type differential equation is this?

  • Susanne217
  • · Replies 7 ·
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7

Graduate I am pissed And Variation of parameters. who, what, when, where, why?

  • dionysian
  • · Replies 16 ·
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16

Graduate Differential equation reducible to Bessel's Equation

  • joel19
  • · Replies 9 ·
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9

Graduate Exact solution to advection equation in spherical coordinates

  • lostidentity
  • · Replies 1 ·
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1

Graduate Is the square of Heaviside function equal to Heaviside?

  • snooper007
  • · Replies 11 ·
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11

Undergrad Finding Eigenvalues for u''+λu=0

  • beetle2
  • · Replies 1 ·
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1

Graduate Help with a Helmholtz-like equation

  • DrJekyll
  • · Replies 6 ·
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6

Graduate Mathematica and Variation of Parameters

  • jaseh86
  • · Replies 5 ·
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5

Undergrad Can't remember how to do this simple definite integral

  • astonmartin
  • · Replies 2 ·
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2

Graduate D'Alambert Equation: Solving for $\psi(\vec{r},t)$

  • Petar Mali
  • · Replies 4 ·
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4

Graduate Nonlinear Elasticity: Calculating Internal Forces

  • hnemati2000
  • · Replies 1 ·
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1

Graduate Sturm-Liouville Like Equation with Boundary Conditions on Second Derivative

  • Nikratio
  • · Replies 3 ·
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3

Undergrad How do you explain this, Equation?

  • sl02ggp
  • · Replies 3 ·
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3

Graduate Why Might My Exact Equation Solution Be Incorrect?

  • renathy
  • · Replies 2 ·
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2

Graduate General Solution to Linear, Homogenius, Second-Order Differential Equation

  • nivekious
  • · Replies 3 ·
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3

Undergrad Why Do We Use Integrating Factors in Solving First Order Linear ODEs?

  • Saladsamurai
  • · Replies 4 ·
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4

Undergrad Differential Eq using Substitution help

  • g.sharm89
  • · Replies 2 ·
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2

Graduate Ordinary Differential Equations class

  • Jonnyb42
  • · Replies 6 ·
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6