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 Solve 3rd Order DE: How Many Linearly Independent Solutions?

  • bigdirtycarl
  • · Replies 2 ·
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2

Graduate Proving Unique Solution of $y''+e^{-x}f(y)=0$ with $y(0)=y'(0)=0$

  • Malmstrom
  • · Replies 6 ·
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6

Graduate Discrete derivatives with finite-differences

  • mnb96
  • · Replies 4 ·
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4

Graduate Is the Solution to y'=\sqrt{y^2+x^2+1} Defined for All x and Greater Than sinhx?

  • Malmstrom
  • · Replies 2 ·
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2

Graduate Domain of solution to Cauchy prob.

  • Kalidor
  • · Replies 2 ·
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2

Graduate Solving Cauchy Prob: y'=sin(x+y+3) y(0)=-3

  • Kalidor
  • · Replies 2 ·
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2

Graduate Transforming a DE into Bessel's Equation

  • vertices
  • · Replies 3 ·
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3

Graduate Can anyone suggest to me a method to solve the following?

  • JonoSmith
  • · Replies 6 ·
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6

Undergrad Can g(x) be found to satisfy this differential equation?

  • adoado
  • · Replies 1 ·
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1

Graduate Solving DE x*y'' - y' = 3x^2: 2 Ways Found

  • Mabbott608
  • · Replies 10 ·
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10

Graduate What Are the Best Books for Asymptotic Expansions of Special Functions?

  • sheaf
  • · Replies 3 ·
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3

Graduate Solve a system of second order PDE

  • Woppe
  • · Replies 6 ·
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6

Undergrad Find Laplace Transform of 1+t - No Table Needed

  • claysimo
  • · Replies 1 ·
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1

Graduate Find solution with initial value

  • invisible_man
  • · Replies 7 ·
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7

Graduate Solving fourth order differential equation ( )

  • sasikanth
  • · Replies 10 ·
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10

Graduate What is the Laplace Transform of (t-3)u2(t) - (t-2)u3(t)?

  • invisible_man
  • · Replies 1 ·
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1

Graduate Confused on partial differentiation.

  • yungman
  • · Replies 3 ·
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3

Graduate What is the meaning of the wave equation .in English?

  • yungman
  • · Replies 1 ·
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1

Undergrad Second order DE involving repeat roots

  • quietrain
  • · Replies 4 ·
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4

Graduate Second order differential equation

  • bobey
  • · Replies 2 ·
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2

Graduate Need help with nonseparable differential equation

  • badatmath7
  • · Replies 1 ·
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1

Graduate How Do You Solve Hermite's Equation?

  • nintandao64
  • · Replies 1 ·
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1

Graduate Understanding Duhamel's Principle: A Grad Math Survival Guide

  • Nick Bruno
  • · Replies 1 ·
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1

Graduate Integrating a Gaussian Pulse for Kinetic Energy Calculation

  • atqamar
  • · Replies 2 ·
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2

Undergrad Is L{(t^3)(sin^3(t))} Appropriate for an Intro to ODE Class?

  • b3n5p34km4n
  • · Replies 1 ·
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1

Graduate How to Solve and Verify Second Order Inhomogeneous ODEs?

  • vj9
  • · Replies 3 ·
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3

Graduate Solving Klein-Gordon PDE w/ Change of Variables

  • yonatan
  • · Replies 3 ·
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3

Undergrad What's the difference between these differential operators?

  • corona7w
  • · Replies 1 ·
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1

Undergrad Solving First Order Linear Inhomogenous Eq.

  • Kalidor
  • · Replies 3 ·
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3

Graduate Velocity in D'Alembert solution is the same as virtical velocity?

  • yungman
  • · Replies 1 ·
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1

Undergrad Differential operators - the rules

  • randybryan
  • · Replies 3 ·
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3

Graduate Bessel Function, Orthogonality and More

  • Post
  • · Replies 3 ·
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3

Graduate Solving First Order Partial Differential Equations

  • jam12
  • · Replies 6 ·
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6

Graduate Solve for A_n as n→∞: Difference Equation

  • rsq_a
  • · Replies 7 ·
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7

Graduate Verify Gamma function, not a homework problem

  • yungman
  • · Replies 1 ·
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1

High School How Do the Basics of Integration Work?

  • stevie :)
  • · Replies 1 ·
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1

Graduate How can I find the roots of this complex equation?

  • vinodjoshi
  • · Replies 2 ·
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2

Graduate Solving a PDE : 2 order in time, 4 order in space, mixed derivatives

  • vatant
  • · Replies 20 ·
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20

Graduate Can an Exponential Factor Create a New Solution for a Second Order ODE?

  • intervoxel
  • · Replies 3 ·
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3

Graduate From a System of 1st ODE to a 2nd ODE and back to the system of 1st ODEs

  • Bachelier
  • · Replies 1 ·
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1

Graduate Solving 4th Order Differential Equation: ay + by'''' = c( d + e^ikx )

  • Kaxer
  • · Replies 1 ·
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1

Graduate How to Approach Solving a 2D Damped Wave Equation?

  • igor_b
  • · Replies 1 ·
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1

Graduate How to Relate b(0) and M in This Secondary Differential Equation?

  • Boryna
  • · Replies 1 ·
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1

Undergrad How Do I Derive This Circuit Simulation Function for Newton's Method?

  • zckumling
  • · Replies 1 ·
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1

Undergrad Tough Differential Equation (for me at least, and some others)

  • Char. Limit
  • · Replies 1 ·
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1

Graduate Hindmarsh rose model with delay (dde)

  • kaledh
  • · Replies 1 ·
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1

Graduate Solving ODE using Fourier Transform

  • absolute76
  • · Replies 28 ·
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28

Graduate Solving 1st Order PDE with Initial Condition - Help Needed

  • BustedBreaks
  • · Replies 2 ·
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2

Graduate Runge Kutta Sine-Gordan equaiton.

  • seagulloftime
  • · Replies 1 ·
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1

Graduate 1st order ODE with sampled function

  • tamzam
  • · Replies 1 ·
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1

Graduate What's the Difference Between Crank-Nicolson and Heun's Method?

  • Smed
  • · Replies 4 ·
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4

Graduate Characterstic Curves and domain of dependence

  • Nik23S
  • · Replies 1 ·
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1

Graduate How to integrate \frac{(1+\Phi)+\Phi e^{-x}}{(1+\Phi)-\Phi e^{-x}}?

  • Petar Mali
  • · Replies 10 ·
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10

Graduate Laplace Transform of Bessel Diff Eq

  • DMcG
  • · Replies 2 ·
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2

Undergrad Need help with PDE application's in mechanic

  • mghorabah
  • · Replies 1 ·
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1

Undergrad Deriving Position & Motion Functions of Moving Particles

  • nadia123
  • · Replies 3 ·
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3

Undergrad What is the integral of dydx=y^2/x^2

  • math_trouble
  • · Replies 2 ·
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2

Graduate Hamiltonian Systems: Showing Limit Cycles Impossible

  • Nusc
  • · Replies 1 ·
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1

Graduate Why Can't the Graph of a First Order Autonomous ODE Cross a Critical Point?

  • Skrew
  • · Replies 1 ·
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1

Undergrad Differential equations questions

  • Fritz
  • · Replies 4 ·
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4

Graduate What is the solution for a one-dimensional random walk in potentials?

  • blue2script
  • · Replies 1 ·
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1

Graduate Solve Nonlinear First Order Differential Equation | y'(t)=y(t)^3+f(t)

  • bpcraig
  • · Replies 1 ·
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1

High School How to state an equation of rational functions that has Asymptotes?

  • NYH
  • · Replies 1 ·
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1

Graduate Solving 2D Poisson problem with a single series

  • yungman
  • · Replies 6 ·
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6

Undergrad When can seperation of variables be applied?

  • PhDorBust
  • · Replies 1 ·
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1

Graduate How do you combine Bessel functions?

  • renz
  • · Replies 2 ·
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2

Undergrad Difference expressed as integral of differential?

  • bthongchai
  • · Replies 1 ·
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1

Graduate 2nd order Boundary Value Problem.

  • yungman
  • · Replies 15 ·
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15

Graduate Why Are Parabolic Cylinder Functions Standard Solutions to the Weber Equation?

  • intervoxel
  • · Replies 2 ·
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2

Graduate I'm stuck with a differential equation

  • vinodjoshi
  • · Replies 7 ·
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7

Graduate What do I do with the +- in y'= +-(2y^3)^1/2?

  • manenbu
  • · Replies 12 ·
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12

Graduate Deriving and Proving the Heat Equation's Integral Product

  • squenshl
  • · Replies 1 ·
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1

Graduate Torricelli's Principle: Outflow Velocity and Liquid Drainage in a Tank

  • skinsgamer
  • · Replies 1 ·
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1

Graduate How do you interpret derivatives of the Dirac function in Maple?

  • FredE
  • · Replies 8 ·
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8

Graduate Converting a Differential Equation to Bessel Equation

  • Djproject
  • · Replies 1 ·
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1

Undergrad How Can I Make H the Subject in This Equation?

  • textbooks
  • · Replies 1 ·
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1

Graduate Non-linear Differential Equations and Psuedo-randomness

  • linford86
  • · Replies 4 ·
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4

Undergrad 1D advection-diffusion-need to check my code; any suggestions?

  • bzz77
  • · Replies 1 ·
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1

Graduate How to Solve Heat Equations with Generation Terms?

  • NoobixCube
  • · Replies 3 ·
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3

Graduate Question on Variation of Parameters

  • yungman
  • · Replies 3 ·
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3

High School Is it considered lame to use a CAS when helping people in the DE forum?

  • clustro
  • · Replies 3 ·
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3

Graduate Solving differential equations using implicit methods

  • Sagekilla
  • · Replies 5 ·
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5

Graduate Can Second Order Non-linear ODEs Like This Be Solved Analytically?

  • ayae
  • · Replies 3 ·
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3

Undergrad Why the green function is useful?

  • wdlang
  • · Replies 2 ·
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2

Undergrad Perfect Differential: What Is It?

  • mess1n
  • · Replies 1 ·
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1

Graduate Investigate uniqueness of the differential equation

  • ahmed39399
  • · Replies 2 ·
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2

Graduate Boundary Value Problem for the 1-D Wave

  • bndnchrs
  • · Replies 1 ·
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1

Graduate A second order nonlinear ordinary differential equation

  • Lightfuzz
  • · Replies 6 ·
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6

Graduate Lorenz Equations: Explaining Apparent Unpredictability

  • Nusc
  • · Replies 1 ·
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1

Graduate Proving Space of Differential Functions Not Closed

  • lady99
  • · Replies 4 ·
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4

Graduate Calculating Gamma Ratio: Tricks for Hard Problems

  • Juggler123
  • · Replies 1 ·
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1

Graduate Solving a Coupled Trigonometric ODE System in MATLAB?

  • a.mlw.walker
  • · Replies 4 ·
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4

Graduate How Do You Solve the Cylindrical Heat Equation with Non-Constant Coefficients?

  • Yoni
  • · Replies 1 ·
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1

Graduate Solving a differential equation by integration

  • tiredryan
  • · Replies 8 ·
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8

Graduate Solving Non-Linear Equations Using Quadrature Method - Y^2Y''=C (C: Real Number)

  • HallsofIvy
  • · Replies 10 ·
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10

Graduate Evaluate Integral for Reduced Green's Function: Semi-Infinite Plates

  • AxiomOfChoice
  • · Replies 2 ·
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2

Undergrad Looking for General solution for a difference equation

  • ivyhawk
  • · Replies 8 ·
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8

Graduate Undetermined Coefficients of Difference Equations

  • kathrynag
  • · Replies 3 ·
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3

Graduate How to Determine the Sign of the Square Root in ODEs for Photon Orbits?

  • nocks
  • · Replies 2 ·
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2

Undergrad Iterative Systems of Difference Equations

  • kathrynag
  • · Replies 1 ·
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1