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

Undergrad Converting Second Order ODE to Hypergeometric Function

  • thatboi
  • · Replies 7 ·
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7

Graduate Derivation of Momentum Equation (Eulers Equation)

  • aeroboyo
  • · Replies 2 ·
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2

Graduate FEM basis polynomial order and the differential equation order

  • chowdhury
  • · Replies 1 ·
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1

Graduate Solving Coupled First Order ODEs: Is There a Closed Form Solution?

  • thatboi
  • · Replies 28 ·
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28

Projectiles Problem: Time to Hit Ground from 45m

  • omartharwat
  • · Replies 2 ·
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2

Oil Spill - Differential Equations

  • echianne
  • · Replies 4 ·
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4

How to prove that the Euler-Bernoulli equation is hyperbolic

  • mathematix89
  • · Replies 10 ·
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10

Partially Decoupled System with 3 variables

  • Omzyma
  • · Replies 4 ·
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4

Graduate Wave direction and speed of propagation

  • kasnay
  • · Replies 12 ·
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12

Solve DE: Reviewing Problems Before Classes Start

  • karush
  • · Replies 3 ·
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3

Graduate Why don't we multiply generalized functions?

  • wrobel
  • · Replies 2 ·
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2

Undergrad Solving 2D Heat Equation w/ FEM & Galerkin Method

  • bob012345
  • · Replies 7 ·
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7

B.2.2.2 solve DE ....separate variables

  • karush
  • · Replies 6 ·
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6

Graduate How can I interpret the 2D advection equation?

  • jones1234
  • · Replies 6 ·
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6

Undergrad Label propagation equation: what are the terms?

  • Master1022
  • · Replies 3 ·
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3

Undergrad FEM 2D Node Equations: Setting Up & Examples

  • bob012345
  • · Replies 9 ·
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9

Insights The Amazing Relationship Between Integration And Euler’s Number

  • fresh_42
  • · Replies 1 ·
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1

Graduate Can a Scalar Equation Be Transformed into Lagrangian Form?

  • wrobel
  • · Replies 8 ·
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8

Undergrad Looking for what this type of PDE is generally called

  • masaakim
  • · Replies 1 ·
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1

Graduate Finite difference scheme for y'(t)=a*y(t)

  • feynman1
  • · Replies 11 ·
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11

Graduate Crank-Nicholson method for spherical diffusion

  • hunt_mat
  • · Replies 2 ·
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2

Graduate Can the Cauchy-Kovalewskaya Theorem Predict Solution Existence in All Cases?

  • wrobel
  • · Replies 0 ·
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0

Application of Linear differential equation in solving problems

  • Help_me1
  • · Replies 4 ·
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4

Graduate Green's function for Stokes equation

  • steve1763
  • · Replies 1 ·
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1

Graduate Green's function for Sturm-Louiville ODE

  • member 428835
  • · Replies 3 ·
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3

Graduate Residual of PDEs as convergence criteria of numerical solution

  • feynman1
  • · Replies 9 ·
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9

Graduate How Large is the Residual Error in FEA Solutions of PDEs?

  • feynman1
  • · Replies 12 ·
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12

Undergrad Crank Nicolson method to solve a PDE

  • hanabachi
  • · Replies 23 ·
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23

Undergrad FEM Method for the Wave Equation

  • bob012345
  • · Replies 3 ·
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3

Undergrad Limit cycles, differential equations and Bendixson's criterion

  • Vini
  • · Replies 1 ·
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1

Undergrad Inverting an Equation Containing Elliptic Integrals

  • diegogarcia
  • · Replies 1 ·
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1

Graduate Help with understanding why limit implies uniqueness

  • MathStudent999
  • · Replies 1 ·
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1

Undergrad Separation of Variables, but not equal to constant

  • Foracle
  • · Replies 3 ·
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3

Undergrad Laplace transform of a simple equation (Simple question)

  • LagrangeEuler
  • · Replies 4 ·
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4

Graduate Dynamic Systems: Poincaré-Bendixson Theorem finite # of equilibria

  • Master1022
  • · Replies 4 ·
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4

Undergrad Integral-form change of variable in differential equation

  • Jaime_mc2
  • · Replies 1 ·
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1

Graduate Solving Laplace's equation in polar coordinates for specific boundary conditions

  • Stefan H
  • · Replies 3 ·
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3

Graduate Why do the Navier-Stokes equations give us non-existent results for 3D flow?

  • Jurgen M
  • · Replies 9 ·
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9

Graduate Laplace transform of derivatives

  • LagrangeEuler
  • · Replies 6 ·
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6

Graduate Existence of unique solutions to a first order ODE on this interval

  • thidmir
  • · Replies 2 ·
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2

Undergrad Problem with integrating the differential equation more than once

  • LagrangeEuler
  • · Replies 1 ·
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1

Undergrad Non-Homogeneous Robin Boundary conditions and Interpretations of Signs

  • ConicalDrupe
  • · Replies 2 ·
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2

Graduate Solving nonlinear singular differential equations

  • wasi-uz-zaman
  • · Replies 3 ·
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3

Graduate When do we need to consider the homogeneous solution?

  • LCSphysicist
  • · Replies 2 ·
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2

Undergrad Can FDM solve any type of PDE same as FEM?

  • zoltrix
  • · Replies 13 ·
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13

Undergrad Convergence of this Laplace transformation

  • lukka98
  • · Replies 3 ·
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3

First order differential equations

  • Bat1
  • · Replies 1 ·
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1

Undergrad Find the center manifold of a 2D system with double zero eigenvalues

  • NicolaiTheDane
  • · Replies 4 ·
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4

Graduate Dissipative and dispersive derivatives

  • feynman1
  • · Replies 19 ·
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19

Graduate Can the Solution of a Heat Equation Only Get Smoother as Time Increases?

  • feynman1
  • · Replies 10 ·
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10

Undergrad Why Is a Differential Equation Called Nonlinear?

  • wasi-uz-zaman
  • · Replies 3 ·
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3

Undergrad An equation invariant under change of variable

  • Kashmir
  • · Replies 21 ·
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21

How Do You Write a PDE in Terms of x and y?

  • Carla1985
  • · Replies 3 ·
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3

Undergrad PDEs greater than order 2 with real world applications?

  • BWV
  • · Replies 2 ·
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2

-b.1.3.17 y''+y'-6y=0 Find values of r of the form y = e^{rt}

  • karush
  • · Replies 3 ·
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3

-b.1.1.4 directional field as t \to \infny

  • karush
  • · Replies 2 ·
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2

Graduate How to solve simple 2D space-time PDE numerically

  • tworitdash
  • · Replies 5 ·
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5

Undergrad How to determine if x(t) is a solution to a system x'(t)=f(x)

  • NicolaiTheDane
  • · Replies 1 ·
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1

Why Choose This Function for Solving PDEs?

  • evinda
  • · Replies 2 ·
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2

Undergrad Why can the i be dropped when defining the new constant B?

  • Trying2Learn
  • · Replies 12 ·
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12

-b.1.3.12 .... is a solution of the DE

  • karush
  • · Replies 3 ·
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3

-b.2.7.2 Euler's method y'=3+y-y y(0) =1

  • karush
  • · Replies 9 ·
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9

Undergrad Understanding relationship between heat equation & Green's function

  • lriuui0x0
  • · Replies 6 ·
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6

How to Solve Differential Equation with Separate Variables?

  • karush
  • · Replies 10 ·
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10

What is the maximum distance of P from point O during the motion?

  • Shah 72
  • · Replies 10 ·
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10

Undergrad Finite difference scheme for u'=u^2, u0=1, 0<t<2

  • feynman1
  • · Replies 8 ·
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8

-t1.13 IVP \frac{ds}{dt}&=12t(3t^2-1)^3 ,s(1)=3\

  • karush
  • · Replies 2 ·
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2

B.2.2.16 IVP of \dfrac{x(x^2+1)}{4y^3}, y(0)=-\dfrac{1}{\sqrt{2}}

  • karush
  • · Replies 6 ·
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6

Solve Differential Eq: xe^-1/(k+e^-1) for x, k, t

  • Shah 72
  • · Replies 2 ·
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2

-2.1.1 DE Find the general solution

  • karush
  • · Replies 5 ·
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5

Undergrad General solution of heat equation?

  • lriuui0x0
  • · Replies 3 ·
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3

What is the integrating factor for solving this IVP?

  • karush
  • · Replies 5 ·
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5

Is the given function a solution of the differential equation?

  • karush
  • · Replies 3 ·
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3

Undergrad Solve second order linear differential equation

  • lriuui0x0
  • · Replies 7 ·
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7

2.1.2 Find the general solution of y'−2y=t^{2}e^{2t}

  • karush
  • · Replies 4 ·
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4

Undergrad Conservation of finite difference for vibration equations

  • feynman1
  • · Replies 2 ·
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2

-2.2.35 Show that dy/dx=(x+3y)/(x-y) is homogeneous. and....

  • karush
  • · Replies 2 ·
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2

High School Difference between a continuously differentiable function and a wave

  • redtree
  • · Replies 11 ·
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11

Undergrad What is the Definition of the Delta Function?

  • Leo Liu
  • · Replies 5 ·
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5

When Will the Object Be 15 Meters Above the Ground?

  • karush
  • · Replies 4 ·
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4

High School Basic Idea of Differential Equations

  • NoahsArk
  • · Replies 25 ·
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25

Graduate Local truncation error from Taylor/Variable timestep

  • maistral
  • · Replies 2 ·
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2

Graduate Backward Euler technique vs. periodic function: Damping out?

  • maistral
  • · Replies 7 ·
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7

Solving an ODE: Seeking c so y'(0)=0

  • mariask
  • · Replies 2 ·
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2

Momentum Change in Hockey Ball: Mass 0.2kg, Speed 8m/s to 5m/s

  • Shah 72
  • · Replies 5 ·
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5

Graduate Starting BDF iterations - suggestions?

  • maistral
  • · Replies 5 ·
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5

Mechanics- General motion in a straight line.

  • Shah 72
  • · Replies 4 ·
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4

Inverse laplace transform pf infinite product

  • Maszenka
  • · Replies 1 ·
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1

Undergrad Understanding the Laplace Transform of cos(t)/t

  • arestes
  • · Replies 7 ·
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7

Undergrad Fredholm's alternative & L2 convergence

  • eousseu
  • · Replies 2 ·
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2

Undergrad How do I solve this first order second degree differential equation?

  • alan123hk
  • · Replies 7 ·
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7

Undergrad Rodrigues' Formula for Laguerre equation

  • appmathstudent
  • · Replies 3 ·
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3

B.2.1.4 trig w/ integrating factor

  • karush
  • · Replies 1 ·
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1

Solving $\dfrac{dy}{dt}=y-5$, $y(0)=y_0$

  • karush
  • · Replies 6 ·
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6

Undergrad Series Solution for 2nd-Order Homogeneous ODE

  • rghurst
  • · Replies 4 ·
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4

Undergrad How to solve this second order differential equation

  • Safinaz
  • · Replies 10 ·
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10

B.1.2.3 Find the equilibrium solution and....

  • karush
  • · Replies 2 ·
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2

Solving IVP $y''-y=0$ with $y_1,y_2$

  • karush
  • · Replies 5 ·
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5

What are the values of r for this differential equation?

  • karush
  • · Replies 5 ·
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5

Graduate Phase Portraits of a system of differential equations

  • AHSAN MUJTABA
  • · Replies 1 ·
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1