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 solve this nonlinear differential equation

  • Brucezhou
  • · Replies 7 ·
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7

What Is the Limit of $t \cos(wt) e^{-st}$ as $t \to \infty$?

  • evinda
  • · Replies 10 ·
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10

Graduate Solving Integral Using Laplace Transform

  • pierce15
  • · Replies 3 ·
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3
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13

Graduate Non-Homogeneous ODEs with Coupled Equations: Solving with Fourier Series?

  • jason.bourne
  • · Replies 4 ·
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4

Graduate Laplace Transforms: Math's Elegant Solutions

  • MostlyHarmless
  • · Replies 10 ·
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10

Graduate D'Alembert's Solution to wave equation

  • pierce15
  • · Replies 1 ·
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1
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1

Graduate Find damping coefficient at a given vibration mode

  • highroller
  • · Replies 8 ·
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8

Solve 2nd Order Linear Inhomogeneous ODE: Muhammad Fasih

  • MarkFL
  • · Replies 1 ·
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1

Graduate Techniques for Solving Equations with Irregular Singular Points

  • stroustroup
  • · Replies 2 ·
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2

Undergrad Solve Ordinary Differential Equation: ln(y)=xy

  • vanceEE
  • · Replies 11 ·
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11

Solving the Bernoulli Equation: Find Initial Value u(1)

  • mathmari
  • · Replies 8 ·
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8

Graduate How can the differential quartic equation be solved with constants B and C?

  • JulieK
  • · Replies 2 ·
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2

Graduate Deriving Partial Derivatives for Power Functions

  • BobV
  • · Replies 2 ·
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2

Differential Approximation Task II

  • Thorra
  • · Replies 8 ·
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8

Graduate Is There a General Equation for the Stormer-Verlet Numerical Integration Method?

  • Master J
  • · Replies 3 ·
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3
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1

Undergrad Absolute value in separable ODEs?

  • perishingtardi
  • · Replies 1 ·
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1

Graduate Frobenius method for fourth order linear ODE

  • eradi
  • · Replies 2 ·
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2

Graduate Airy integral by Fourier transform?

  • Jason3
  • · Replies 1 ·
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1

Numerical Stability of Difference Schemes for Differential Operators

  • Thorra
  • · Replies 12 ·
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12

Undergrad Solving 2nd Order DEs w/ Undermined Coefficients & e^x, cosx, sinx

  • jaydnul
  • · Replies 4 ·
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4

Graduate Understanding the Direction Field of y'=cos(πx)

  • ajayguhan
  • · Replies 1 ·
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1

High School Linearity of differential equation

  • bhanesh
  • · Replies 5 ·
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5

Graduate Question on checking the linearity of a differential operator

  • Seydlitz
  • · Replies 2 ·
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2
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11

Graduate Differentiation in spherical coordinates.

  • yungman
  • · Replies 4 ·
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4

Undergrad How to Derive the ODE for a Series RC Circuit with a Current Source?

  • ntmkd
  • · Replies 2 ·
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2

Undergrad The Famous Romeo and Juliet Problem

  • Bipolarity
  • · Replies 9 ·
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9

Graduate Verify pulling out the partial derivative.

  • yungman
  • · Replies 1 ·
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1

Integrating a diagonal 2x2 matrix

  • Dustinsfl
  • · Replies 2 ·
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2

Graduate Does a Fourier Series Have an Infinite Dimensional Parameter Space?

  • autobot.d
  • · Replies 1 ·
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1

Graduate Laplace Differential Equation of a Half-Annulus

  • mrkevelev
  • · Replies 1 ·
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1

Second order differential equation,with constant terms

  • evinda
  • · Replies 14 ·
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14

Undergrad Mathematica system giving errors inside a for loop

  • Reem Hashem
  • · Replies 4 ·
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4

Solve \(u_{tt} - u_{xx} = \sin(u)\): Let \(u(\xi)\)

  • Dustinsfl
  • · Replies 1 ·
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1

Positive Roots of ODE Solution: K>1/4 has Infinite Zeros

  • MarkFL
  • · Replies 1 ·
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1

Graduate Solving non homogeneous heat equation

  • yungman
  • · Replies 13 ·
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13

Undergrad Discover How to Solve the x = y sin(x) Equation with Expert Tips

  • sid9221
  • · Replies 4 ·
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4

Graduate Analytical solution of nonlinear ordinary differential equation

  • nitin7785
  • · Replies 5 ·
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5

Graduate Is wave and heat equation with zero boundary Poisson Equation?

  • yungman
  • · Replies 5 ·
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5

Graduate Bessel's ODE: Why does taking ν≥0 matter? It is squared anyway.

  • gikiian
  • · Replies 5 ·
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5

Graduate Few questions about series solution of ODEs

  • gikiian
  • · Replies 1 ·
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1

Graduate How difficult is it to solve this elliptic ODE.

  • ozone
  • · Replies 2 ·
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2

Graduate Solving a Differential Equation with Boundary Conditions

  • kumudumalee
  • · Replies 2 ·
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2

Graduate Differential equations involving the function composition

  • dftfunctional
  • · Replies 5 ·
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5

Graduate Isn't Ordinary Point Just a Specific Case of Regular Singular Point?

  • gikiian
  • · Replies 2 ·
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2

Undergrad Laplace transform interpretation

  • leehufford
  • · Replies 2 ·
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2

Graduate Bessel Equation and Bessel fuctions

  • unscientific
  • · Replies 2 ·
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2

Graduate Integrating derivatives in matrix elements

  • jostpuur
  • · Replies 2 ·
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2

How can I apply Euler's method without the interval component?

  • kalish1
  • · Replies 8 ·
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8

Graduate Solving a nonlinear 1st order PDE with method of characteristics

  • re444
  • · Replies 5 ·
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5

Graduate Solving a first-order ODE with polynomial and power terms

  • JulieK
  • · Replies 3 ·
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3

Graduate Critiquing separation of variables method for PDE.

  • Sefrez
  • · Replies 4 ·
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4

Graduate Clarifying ODE/PDE Integration and Conditions

  • member 428835
  • · Replies 2 ·
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2

Recasting/Reducing ODEs of order n to first order

  • nacho-man
  • · Replies 6 ·
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6

Graduate Is this true about differential equations?

  • gikiian
  • · Replies 4 ·
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4

Undergrad Find Second Derivative of f(x)= x^(2/3) (6-x)^(1/3)

  • FChebli
  • · Replies 5 ·
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5

Undergrad Problem 12 and 23 from Zill and Cullen chapter 4

  • gikiian
  • · Replies 2 ·
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2

Is the Norm of a Quantum State Constant in Schrödinger's Equation?

  • Fermat1
  • · Replies 2 ·
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2

Graduate Generalized eigenvectors and differential equations

  • drawar
  • · Replies 2 ·
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2

Undergrad Partial differentiation with 3 variables

  • _Stew_
  • · Replies 8 ·
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8

Graduate Solving the Biharmonic Equation in Polar Coordinates: Tips and Techniques

  • member 428835
  • · Replies 2 ·
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2

How Does Constant Yield Harvesting Affect Fish Population Stability?

  • alane1994
  • · Replies 1 ·
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1
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14

Graduate Understanding the General Solution of a Differential Equation

  • oneamp
  • · Replies 3 ·
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3

Graduate Relationship between vector fields and direction fields in ODE

  • musik132
  • · Replies 1 ·
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1

Graduate Normalization of Orthogonal Polynomials?

  • bolbteppa
  • · Replies 7 ·
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7

Graduate Applying Gauss' Law to other situations

  • res3210
  • · Replies 3 ·
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3

Graduate How to solve a system of PDAEs with eigenvalue

  • ktsharp
  • · Replies 2 ·
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2

Undergrad Transforming differentials and motion

  • fogvajarash
  • · Replies 3 ·
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3

Graduate How to solve delay differential equation

  • iVenky
  • · Replies 1 ·
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1

Graduate Solving Diff. Eqns with Constants: a & b

  • KrayzBlu
  • · Replies 4 ·
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4

Integrating factor, initial value problem

  • jasonmcc
  • · Replies 1 ·
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1

Undergrad Solving a simple differential equation

  • An1MuS
  • · Replies 2 ·
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2

Graduate Is there a mistake in dividing differentials for this equation?

  • inglezakis
  • · Replies 14 ·
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14

Why Do Solutions to This ODE Differ?

  • Chipset3600
  • · Replies 3 ·
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3

Exponential Growth & Decay Question

  • ISITIEIW
  • · Replies 3 ·
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3

Undergrad Differential equation - Reduction of order

  • fineTuner
  • · Replies 4 ·
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4

Graduate How is the equality in this PDE achieved?

  • Superposed_Cat
  • · Replies 3 ·
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3

Undergrad Derivative function. Is the book wrong?

  • noahsdev
  • · Replies 3 ·
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3

Undergrad Second Order Nonhomogenous Differential Equation

  • Legaldose
  • · Replies 2 ·
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2

Graduate How to Prove Global Existence for Two-Dimensional Cauchy Problems?

  • user40191
  • · Replies 5 ·
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5

Graduate How Do I Transform Coefficients in a Taylor Series Differential Equation?

  • vermin
  • · Replies 3 ·
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3

Graduate Figuring symmetries of a differential operator from its eigenfunctions

  • JPaquim
  • · Replies 2 ·
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2

Graduate How to Reduce a Function to a Hypergeometric Using a Change of Variables?

  • blocnt
  • · Replies 1 ·
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1

Graduate Laplace transform of t*sin(2t) and what the s-domain represents

  • Plecto
  • · Replies 3 ·
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3

Graduate Why Is Partial Differentiation Different in Polar Coordinates?

  • yungman
  • · Replies 5 ·
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5

Solve Volterra Equation: Integral Equation Guide

  • Dustinsfl
  • · Replies 10 ·
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10

Alex's question at Yahoo Answers regarding a mixing problem

  • MarkFL
  • · Replies 1 ·
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1

Integral equation Fredholm series

  • Dustinsfl
  • · Replies 1 ·
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1

Solving a second order differential equation using Laplace transforms

  • Bibbster
  • · Replies 7 ·
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7

Eigenvalue (and function) of integral equation

  • Dustinsfl
  • · Replies 4 ·
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4

How to Solve Trigonometric Integrals and Isolate y as a Function of x

  • shocks90
  • · Replies 9 ·
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9

Second order inhomogeneous differential equation

  • Vishak95
  • · Replies 1 ·
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1

Differential equation for draining a pool

  • Vishak95
  • · Replies 11 ·
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11

Hank's question at Yahoo Answers regarding a first order linear IVP

  • MarkFL
  • · Replies 1 ·
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1

Solving an Integral Equation with Separable Kernels

  • Dustinsfl
  • · Replies 1 ·
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1

Undergrad Check whether I am correct in Chain Rule

  • yungman
  • · Replies 2 ·
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2