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 ·
Replies
1

Graduate Geometric significance of complete, general, singular and special integrals of PDEs

  • maverick280857
  • · Replies 3 ·
Replies
3

Graduate Numerically solving NLS equation

  • hanson
  • · Replies 1 ·
Replies
1

Graduate Infinitely many integrable/conserved quantities? Soliton?

  • hanson
  • · Replies 2 ·
Replies
2

Graduate Stability? nonlinear mode? soliton?

  • hanson
  • · Replies 1 ·
Replies
1

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

  • Fu Lin
  • · Replies 6 ·
Replies
6

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

  • O.J.
  • · Replies 7 ·
Replies
7

Graduate Numerical solution to coupled diff. eq.

  • mrandersdk
  • · Replies 4 ·
Replies
4

Graduate System of ODEs with bilinear terms: x'=a1*x*z, y'=b1*x + b2*y, z'=c1 + c2*z + c3*y*z

  • agonzale
  • · Replies 2 ·
Replies
2

Graduate Domain, why are they both not defined?

  • rocomath
  • · Replies 5 ·
Replies
5

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

  • O.J.
  • · Replies 3 ·
Replies
3

Undergrad Why is the Laplace transform defined that particular way?

  • O.J.
  • · Replies 14 ·
Replies
14

Graduate Introductory perturbation theory

  • jbowers9
  • · Replies 6 ·
Replies
6

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

  • Nardis
  • · Replies 4 ·
Replies
4

Undergrad Rate of flow - height of water problem

  • ineedmunchies
  • · Replies 4 ·
Replies
4

Graduate A chemical engineering example for lagurre equation

  • valentine_18h
  • · Replies 1 ·
Replies
1

Undergrad Recommended textbooks for learning differential equations before class

  • jcsolis
  • · Replies 2 ·
Replies
2

Graduate What exactly is a dependent variable?

  • Cyrus
  • · Replies 9 ·
Replies
9

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

  • m0nk3y
  • · Replies 4 ·
Replies
4

Graduate Flow potential function not satisfying both partial differential equations

  • Hells_Kitchen
  • · Replies 1 ·
Replies
1

Graduate Explicit solution of heat/diffusion equation

  • Holofernes
  • · Replies 3 ·
Replies
3

Undergrad Modeling rotational motion with differential equations

  • idrivehiscar
  • · Replies 1 ·
Replies
1

Graduate Math that creates laws of physics ?

  • oldtobor
  • · Replies 10 ·
Replies
10

Undergrad Two definitions of homogeneous differential equations

  • student85
  • · Replies 3 ·
Replies
3

Graduate Why does an elliptic PDE have no real characteristics?

  • maverick280857
  • · Replies 6 ·
Replies
6

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

  • jostpuur
  • · Replies 19 ·
Replies
19

Undergrad Something about homogenous DE with constant co-efficients:

  • O.J.
  • · Replies 7 ·
Replies
7

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

  • shoehorn
  • · Replies 2 ·
Replies
2

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

  • Glass
  • · Replies 1 ·
Replies
1

Graduate Inverse Laplace Transform Involving a Step (Heaviside) Function

  • cswall
  • · Replies 1 ·
Replies
1

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

  • Heimdall
  • · Replies 12 ·
Replies
12

Undergrad Recommendations for an ordinary differential equations textbook

  • trajan22
  • · Replies 4 ·
Replies
4

Undergrad Homogeneous Differential Equations

  • nados29
  • · Replies 10 ·
Replies
10

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

  • harsha@iitm
  • · Replies 3 ·
Replies
3

Graduate Analytical solution for u in P(u) = u^n(1-u)/(1-u^{n+1}) = x

  • mkkrnfoo85
  • · Replies 2 ·
Replies
2

Undergrad Solving Bacterial Population Growth: A Math Problem

  • Hussam Al-Tayeb
  • · Replies 4 ·
Replies
4

Undergrad What Does 'D' Stand for in ODEs?

  • brunie
  • · Replies 1 ·
Replies
1

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

  • Hussam Al-Tayeb
  • · Replies 3 ·
Replies
3

Undergrad Second Order Linear Diff Eq

  • KleZMeR
  • · Replies 1 ·
Replies
1

Graduate Find W of 2 Solutions to a Differential EQ

  • stargazer2190
  • · Replies 2 ·
Replies
2

Undergrad Solving du/dx = 2u/(ux+x³) after substitution

  • nocloud
  • · Replies 2 ·
Replies
2

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

  • fireandwater
  • · Replies 1 ·
Replies
1

Undergrad Learning differential equations with all intermediate steps

  • plutoisacomet
  • · Replies 4 ·
Replies
4

Graduate How do you find the power of x in an Euler-Cauchy equation?

  • Hussam Al-Tayeb
  • · Replies 1 ·
Replies
1

Undergrad How to sketch phase planes by hand

  • pakmingki2
  • · Replies 2 ·
Replies
2

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

  • Simfish
  • · Replies 2 ·
Replies
2

Graduate Vector product - operator's a vector?

  • Oblio
  • · Replies 7 ·
Replies
7

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

  • Helios
  • · Replies 2 ·
Replies
2

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

  • btnh
  • · Replies 2 ·
Replies
2

Undergrad A few implicit differentiation problems

  • number_13
  • · Replies 1 ·
Replies
1

Undergrad How to solve Differential equation

  • giorgio_29
  • · Replies 7 ·
Replies
7

Undergrad Learning differential equations with detailed intermediate steps

  • plutoisacomet
  • · Replies 8 ·
Replies
8

Undergrad Understanding Integrating Factor for Linear ODEs

  • erik006
  • · Replies 4 ·
Replies
4

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

  • anirudhreddy
  • · Replies 7 ·
Replies
7

Graduate Four-step Runge-Kutta method fails to converge for coupled equations

  • PRB147
  • · Replies 6 ·
Replies
6

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

  • man@SUT
  • · Replies 4 ·
Replies
4

Undergrad Understanding Initial Value Problems in Differential Equations

  • engguy
  • · Replies 5 ·
Replies
5

Graduate Legendre's differential equation

  • cks
  • · Replies 4 ·
Replies
4

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

  • pfknapp
  • · Replies 1 ·
Replies
1

Graduate Dispersion Relation KdV equation

  • hanson
  • · Replies 3 ·
Replies
3

Undergrad Solving y'=y^(-1/k) by hand for integer k>1

  • real10
  • · Replies 2 ·
Replies
2

Graduate Second Order DE: Nonlinear Homogeneous

  • irighti
  • · Replies 2 ·
Replies
2

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

  • blackjack21
  • · Replies 2 ·
Replies
2

Graduate Solving Integration Problem: Advice Needed

  • architect
  • · Replies 3 ·
Replies
3

Undergrad Using Derive 6 to solve closed loop gain with Laplace transforms

  • BIGEYE
  • · Replies 3 ·
Replies
3

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

  • jonas.hall
  • · Replies 2 ·
Replies
2

Undergrad Differential Equations: Direction Fields

  • anik18
  • · Replies 2 ·
Replies
2

Undergrad Is this equation linear or nonlinear?

  • ~electric~
  • · Replies 1 ·
Replies
1

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

  • anik18
  • · Replies 1 ·
Replies
1

Graduate Spherical harmonic decomposition

  • JoAuSc
  • · Replies 8 ·
Replies
8

Graduate Undetermined coefficients to find general solution to system

  • mslodyczka
  • · Replies 3 ·
Replies
3

Undergrad Factorising a differntiated equation

  • bkvitha
  • · Replies 4 ·
Replies
4

Graduate Errors in Adaptive Runge Kutta Method?

  • gradnu
  • · Replies 6 ·
Replies
6

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

  • cks
  • · Replies 8 ·
Replies
8

Graduate Coveting ODE to polar coordinates

  • gtabmx
  • · Replies 2 ·
Replies
2

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

  • JJ!
  • · Replies 2 ·
Replies
2

Undergrad Math problem regarding kinetic motion

  • danong
  • · Replies 3 ·
Replies
3

Graduate Characteristic method + Jacobian

  • nicksauce
  • · Replies 3 ·
Replies
3

Graduate Why does Bonnet's recursion lose significant digits?

  • BackEMF
  • · Replies 2 ·
Replies
2

Graduate Why Do Simulated and Theoretical Soliton Collisions Differ?

  • hanson
  • · Replies 1 ·
Replies
1

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

  • nicksauce
  • · Replies 11 ·
Replies
11

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

  • O.J.
  • · Replies 4 ·
Replies
4

Graduate Trajectory of charged particle in custom magnetic field

  • ramses728
  • · Replies 11 ·
Replies
11

Graduate Limitation of Split-Step Fourier method

  • iamkitchai
  • · Replies 1 ·
Replies
1

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

  • jacobrhcp
  • · Replies 2 ·
Replies
2

Graduate Relating two PDEs via transformation to Laplace's equation in cylindrical coordinates

  • Spinny
  • · Replies 10 ·
Replies
10

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

  • aphrodasic
  • · Replies 11 ·
Replies
11

Graduate What counts as a solution to the KdV equation?

  • hanson
  • · Replies 1 ·
Replies
1

Undergrad Finding an integrating factor for (x²-y²-y)dx-(x²-y²-x)dy=0

  • Link-
  • · Replies 18 ·
Replies
18

Graduate A boundary value problem discussion

  • radou
  • · Replies 4 ·
Replies
4

Graduate Time scaing in discrete time variable?

  • ratn_kumbh
  • · Replies 1 ·
Replies
1

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

  • buraqenigma
  • · Replies 2 ·
Replies
2

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

  • duckywitbigfeet
  • · Replies 2 ·
Replies
2

Graduate Does truncating Fourier series preserve the function's main features?

  • neelakash
  • · Replies 4 ·
Replies
4

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

  • Sangoku
  • · Replies 1 ·
Replies
1

Graduate Solving Third Order ODE: Proving Single Solution?

  • scotlass
  • · Replies 3 ·
Replies
3

Graduate Nondimensionalization and Scaling

  • hanson
  • · Replies 1 ·
Replies
1

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

  • maverick280857
  • · Replies 4 ·
Replies
4

Graduate Question on Lotka-Volterra model and Lanchaster combat model

  • murshid_islam
  • · Replies 6 ·
Replies
6

Graduate Modified Heat Equation Solutions with Asymptotic Decay

  • bob321
  • · Replies 5 ·
Replies
5