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 How Does Partial Fraction Decomposition Apply to Laplace Transforms?

  • reece
  • · Replies 1 ·
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1

Graduate Integrals of PDEs (help needed to interpret theorem)

  • maverick280857
  • · Replies 3 ·
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3

Graduate Numerically solving NLS equation

  • hanson
  • · Replies 1 ·
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1

Graduate Infinitely many integrable/conserved quantities? Soliton?

  • hanson
  • · Replies 2 ·
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2

Graduate Stability? nonlinear mode? soliton?

  • hanson
  • · Replies 1 ·
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1

Graduate Do equations in nature always have separate time and space derivatives?

  • Fu Lin
  • · Replies 6 ·
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6

Undergrad How Do You Solve an Initial Value Problem Using Laplace Transforms?

  • O.J.
  • · Replies 7 ·
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7

Graduate Numerical solution to coupled diff. eq.

  • mrandersdk
  • · Replies 4 ·
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4

Graduate Analyzing a System of Nonlinear ODEs in Biology

  • agonzale
  • · Replies 2 ·
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2

Graduate Domain, why are they both not defined?

  • rocomath
  • · Replies 5 ·
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5

Graduate How Does Fubini's Theorem Relate to the Product of Two Integrals?

  • O.J.
  • · Replies 3 ·
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3

Undergrad Laplace Transform Explained: WHY & HOW

  • O.J.
  • · Replies 14 ·
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14

Graduate Introductory perturbation theory

  • jbowers9
  • · Replies 6 ·
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6

Graduate Analytical solution of Laplace's equation with horrendous boundary conditions

  • Nardis
  • · Replies 4 ·
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4

Undergrad Rate of flow - height of water problem

  • ineedmunchies
  • · Replies 4 ·
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4

Graduate A chemical engineering example for lagurre equation

  • valentine_18h
  • · Replies 1 ·
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1

Undergrad Recommended DE Book for Beginners: Essential Topics and Tips

  • jcsolis
  • · Replies 2 ·
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2

Graduate What exactly is a dependent variable?

  • Cyrus
  • · Replies 9 ·
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9

Graduate How to Prove the Bessel Function Identity J₂(x) = (2/x)J₁(x) - J₀(x)?

  • m0nk3y
  • · Replies 4 ·
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4

Graduate Help needed to find the flow potential function

  • Hells_Kitchen
  • · Replies 1 ·
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1

Graduate Explicit solution of heat/diffusion equation

  • Holofernes
  • · Replies 3 ·
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3

Undergrad Modeling rotational motion with differential equations

  • idrivehiscar
  • · Replies 1 ·
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1

Graduate Math that creates laws of physics ?

  • oldtobor
  • · Replies 10 ·
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10

Undergrad Question about homogeneous dif. equations

  • student85
  • · Replies 3 ·
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3

Graduate Solving an Elliptic PDE Using the Characteristic Equation: A Beginner's Guide

  • maverick280857
  • · Replies 6 ·
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6

Graduate How Does Adding a Mass Term Affect Wave Equation Solutions?

  • jostpuur
  • · Replies 19 ·
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19

Undergrad Something about homogenous DE with constant co-efficients:

  • O.J.
  • · Replies 7 ·
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7

Graduate Good Alternatives to Taylor's Volume 3 on PDEs?

  • shoehorn
  • · Replies 2 ·
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2

Undergrad How Many BC and IC Do We Need for Different Equations?

  • Glass
  • · Replies 1 ·
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1

Graduate Inverse Laplace Transform Involving a Step (Heaviside) Function

  • cswall
  • · Replies 1 ·
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1

Graduate Can the General Solution for this Exponential Equation be Found?

  • Heimdall
  • · Replies 12 ·
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12

Undergrad Help Finding Textbook for Ordinary Differential Equations

  • trajan22
  • · Replies 4 ·
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4

Undergrad Homogeneous Differential Equations

  • nados29
  • · Replies 10 ·
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10

Graduate How Can a Non-Homogeneous 4th Order PDE for Cantilever Beam Vibration Be Solved?

  • harsha@iitm
  • · Replies 3 ·
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3

Graduate Help: want to find an analytical soln to this =p

  • mkkrnfoo85
  • · Replies 2 ·
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2

Undergrad Solving Bacterial Population Growth: A Math Problem

  • Hussam Al-Tayeb
  • · Replies 4 ·
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4

Undergrad What Does 'D' Stand for in ODEs?

  • brunie
  • · Replies 1 ·
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1

Undergrad Solving Nonhomogeneous Cauchy Equations with Erwin Kreyszig's WILEY Book

  • Hussam Al-Tayeb
  • · Replies 3 ·
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3

Undergrad Second Order Linear Diff Eq

  • KleZMeR
  • · Replies 1 ·
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1

Graduate Find W of 2 Solutions to a Differential EQ

  • stargazer2190
  • · Replies 2 ·
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2

Undergrad Differential equations question

  • nocloud
  • · Replies 2 ·
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2

Graduate What Steps Are Misunderstood in Solving Non-Linear Homogeneous Equations?

  • fireandwater
  • · Replies 1 ·
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1

Undergrad Master Diff Eq: A Beginner's Guide to Understanding Intermediate Steps"

  • plutoisacomet
  • · Replies 4 ·
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4

Graduate Solving Euler Cauchy Equation: Y1,Y2, X^2 & More

  • Hussam Al-Tayeb
  • · Replies 1 ·
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1

Undergrad How to sketch phase planes by hand

  • pakmingki2
  • · Replies 2 ·
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2

Graduate Books that explain differential equations in terms of complex variable theory?

  • Simfish
  • · Replies 2 ·
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2

Graduate Vector product - operator's a vector?

  • Oblio
  • · Replies 7 ·
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7

Undergrad How do you solve for f in the differential equation (x^2-a^2)f'+xf=0?

  • Helios
  • · Replies 2 ·
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2

Undergrad Solving Separable Equations: y'=xcos^(2)y

  • btnh
  • · Replies 2 ·
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2

Undergrad A few implicit differentiation problems

  • number_13
  • · Replies 1 ·
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1

Undergrad How to solve Differential equation

  • giorgio_29
  • · Replies 7 ·
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7

Undergrad Mastering Differential Equations: A Comprehensive Guide to Intermediate Steps

  • plutoisacomet
  • · Replies 8 ·
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8

Undergrad Understanding Integrating Factor for Linear ODEs

  • erik006
  • · Replies 4 ·
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4

Undergrad How do you solve a hard differential equation with an integrating factor?

  • anirudhreddy
  • · Replies 7 ·
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7

Graduate Help about the numerical computation on the following equations

  • PRB147
  • · Replies 6 ·
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6

Graduate Analytically Solving Bessel Functions for x Giving J_m(x)=0

  • man@SUT
  • · Replies 4 ·
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4

Undergrad Understanding Initial Value Problems in Differential Equations

  • engguy
  • · Replies 5 ·
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5

Graduate Legendre's differential equation

  • cks
  • · Replies 4 ·
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4

Graduate Can Green's Function Solve Poisson's Equation in Cylindrical Geometry?

  • pfknapp
  • · Replies 1 ·
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1

Graduate Dispersion Relation KdV equation

  • hanson
  • · Replies 3 ·
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3

Undergrad Help solving a Differential equation

  • real10
  • · Replies 2 ·
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2

Graduate Second Order DE: Nonlinear Homogeneous

  • irighti
  • · Replies 2 ·
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2

Undergrad When Will the Tank's Faucet Pour Fluid Containing 10% Vinegar?

  • blackjack21
  • · Replies 2 ·
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2

Graduate Solving Integration Problem: Advice Needed

  • architect
  • · Replies 3 ·
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3

Undergrad Derive 6 Help with Laplace Transforms

  • BIGEYE
  • · Replies 3 ·
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3

Graduate Minimum boundary when dividing eqilateral triangle in 4 equal sized parts

  • jonas.hall
  • · Replies 2 ·
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2

Undergrad Differential Equations: Direction Fields

  • anik18
  • · Replies 2 ·
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2

Undergrad Is this equation linear or nonlinear?

  • ~electric~
  • · Replies 1 ·
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1

Undergrad How High Does a 64 lb Projectile Go When Fired Upward at 2000 ft/sec?

  • anik18
  • · Replies 1 ·
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1

Graduate Spherical harmonic decomposition

  • JoAuSc
  • · Replies 8 ·
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8

Graduate Undetermined coefficients to find general solution to system

  • mslodyczka
  • · Replies 3 ·
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3

Undergrad Factorising a differntiated equation

  • bkvitha
  • · Replies 4 ·
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4

Graduate Errors in Adaptive Runge Kutta Method?

  • gradnu
  • · Replies 6 ·
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6

Undergrad If sinh(y)=x, then, show that cosh(y)=sqrt(1+x^2)

  • cks
  • · Replies 8 ·
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8

Graduate Coveting ODE to polar coordinates

  • gtabmx
  • · Replies 2 ·
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2

Undergrad How Does Particle P's Motion Change After 2 Seconds?

  • JJ!
  • · Replies 2 ·
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2

Undergrad Math problem regarding kinetic motion

  • danong
  • · Replies 3 ·
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3

Graduate Characteristic method + Jacobian

  • nicksauce
  • · Replies 3 ·
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3

Graduate Legendre's Equation & Bonnet's Recursion

  • BackEMF
  • · Replies 2 ·
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2

Graduate Why Do Simulated and Theoretical Soliton Collisions Differ?

  • hanson
  • · Replies 1 ·
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1

Graduate Solution to PDE U(x,t) = y^2e^{-3x} + h(x)

  • nicksauce
  • · Replies 11 ·
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11

Graduate Theorem of the uniqueness and existence of a solution of ODE

  • O.J.
  • · Replies 4 ·
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4

Graduate Differential equation system, got stuck in a physics problem

  • ramses728
  • · Replies 11 ·
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11

Graduate Limitation of Split-Step Fourier method

  • iamkitchai
  • · Replies 1 ·
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1

Graduate I have something that doesn't work out for me

  • jacobrhcp
  • · Replies 2 ·
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2

Graduate Relating PDEs: Showing Laplace's Eq in Cylindrical Coordinates

  • Spinny
  • · Replies 10 ·
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10

Graduate Proving x*delta' ~ -delta with Generalized Functions

  • aphrodasic
  • · Replies 11 ·
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11

Graduate Solution of a differential equation?

  • hanson
  • · Replies 1 ·
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1

Undergrad Solving First Order Equations: Integral Factor and Exact Differential Equation

  • Link-
  • · Replies 18 ·
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18

Graduate A boundary value problem discussion

  • radou
  • · Replies 4 ·
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4

Graduate Time scaing in discrete time variable?

  • ratn_kumbh
  • · Replies 1 ·
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1

Graduate Is u(x)=exp(-x^{2}/2) an Eigenfunction of \hat{A}?

  • buraqenigma
  • · Replies 2 ·
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2

Graduate What is the general form of the notation u_{x_1 , ..,x_n}?

  • duckywitbigfeet
  • · Replies 2 ·
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2

Graduate Preserving Essential Features in Fourier Series Approximations

  • neelakash
  • · Replies 4 ·
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4

Graduate Does a Continuous Spectrum Confirm Orthogonality in Self-Adjoint Operators?

  • Sangoku
  • · Replies 1 ·
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1

Graduate Solving Third Order ODE: Proving Single Solution?

  • scotlass
  • · Replies 3 ·
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3

Graduate Nondimensionalization and Scaling

  • hanson
  • · Replies 1 ·
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1

Graduate How are order and degree defined for this DE? (cos(y'') + xy' = 0)

  • maverick280857
  • · Replies 4 ·
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4

Graduate Question on Lotka-Volterra model and Lanchaster combat model

  • murshid_islam
  • · Replies 6 ·
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6

Graduate Modified Heat Equation Solutions with Asymptotic Decay

  • bob321
  • · Replies 5 ·
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5