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 What Does the Subscript in the Airy Function Power Series Notation Mean?

  • mknut389
  • · Replies 2 ·
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2

Repeated roots, non homogeneous - second order, reduction of order method

  • shorty1
  • · Replies 4 ·
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4

Undergrad Converting derivative into integral

  • zealous131
  • · Replies 3 ·
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3

Graduate Numerical Solutions for Mixed Boundary Condition

  • tau1777
  • · Replies 7 ·
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7

Graduate Understanding Navier-Stokes Equation

  • Sabbatical
  • · Replies 3 ·
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3

What is the Sturm-Liouville Problem for $y''+2y'+ty=0$ with $y(0)=y(1)=0$?

  • Poirot1
  • · Replies 11 ·
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11

Is the Sturm-Liouville Operator Symmetric in Inner Product Spaces?

  • Poirot1
  • · Replies 3 ·
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3

Second order homogeneous equations with non constant coefficients

  • shorty1
  • · Replies 12 ·
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12

Undergrad Differential equation in simple RC-circuit

  • darkfeffy
  • · Replies 1 ·
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1

Graduate Solving y(4)-4y" = 16e2x: Need Help!

  • lizlemon1991
  • · Replies 1 ·
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1

Undergrad Using Laplace to solve a differential equation

  • sim907
  • · Replies 2 ·
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2

Undergrad Please if anyone can help me to solve this differential equation.

  • artan
  • · Replies 11 ·
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11

Graduate Cauchy-Euler Equation: Derivatives with Respect to x and t

  • HAL10000
  • · Replies 9 ·
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9

Are the Singular Points of the Chebyshev Equation Regular?

  • Poirot1
  • · Replies 2 ·
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2

Graduate Symmetric Matrix Conditions for a Spring-Mass System

  • MysticalSwan
  • · Replies 1 ·
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1

Solving First-Order PDE: $u_x+2u_y+2u=0$

  • Markov2
  • · Replies 1 ·
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1

Solving Laplace's Equation in Polar Coordinates

  • Poirot1
  • · Replies 5 ·
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5

Graduate Help with Eigenfunctions: Find Eigenvalue-Eigenfunction Pair

  • chappyform
  • · Replies 4 ·
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4

Graduate Inverse Trig Functions as a (unique?) solution to a PDE

  • myshadow
  • · Replies 1 ·
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1

Graduate Understanding the Intuitive Interpretation of Laplace and Fourier Transforms

  • dijkarte
  • · Replies 2 ·
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2

ODE system. Limit cycle; Hopf bifurcation.

  • Jason4
  • · Replies 4 ·
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4

Undergrad Wiki says that Runge-Kutta is iterative?

  • nonequilibrium
  • · Replies 4 ·
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4

What Values of X Result in Real Double Roots for This Polynomial?

  • oasi
  • · Replies 3 ·
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3

Graduate Creating Wave Functions With One Variable: Can It Be Done?

  • johann1301
  • · Replies 7 ·
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7

Undergrad About simple differential equations

  • jwqwerty
  • · Replies 3 ·
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3

Graduate Converting partial derivative to ordinary in an integral

  • phys_student1
  • · Replies 4 ·
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4

Help with PDE: $$yu_x+2xyu_y=y^2$$

  • blackthunder
  • · Replies 2 ·
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2

Graduate Closed form solution of differential equation

  • equation M
  • · Replies 1 ·
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1

Differentiating Bessel functions

  • alexmahone
  • · Replies 1 ·
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1

Graduate Series solution, second order diff. eq.

  • Telemachus
  • · Replies 3 ·
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3

Solving PDE by using Laplace Transform

  • Markov2
  • · Replies 6 ·
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6

Graduate Quotient of First Order Ordinary Derivatives

  • franklampard8
  • · Replies 2 ·
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2

Solve 1st Order PDE: $u_y+f(u)u_x=0$

  • Markov2
  • · Replies 11 ·
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11

Graduate Nonhomogeneous Power Series Solution

  • Telemachus
  • · Replies 2 ·
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2

Graduate Fractional power equation. Solution domain.

  • Final ansatz
  • · Replies 4 ·
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4

Undergrad Can someone help me ho to diferentiate this equation to get the

  • nadiaza
  • · Replies 2 ·
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2

Undergrad Laplace Transforms - Just looking up tables?

  • MathWarrior
  • · Replies 3 ·
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3
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2

Solve Heat Equation with Initial Conditions

  • Markov2
  • · Replies 6 ·
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6

Solving PDE by using another function

  • Markov2
  • · Replies 5 ·
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5

Homogeneous linear ODEs with Constant Coefficients

  • oasi
  • · Replies 3 ·
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3

ODE system, plane-polar coordinates

  • Jason4
  • · Replies 9 ·
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9

What Methods Solve This Initial Value ODE?

  • oasi
  • · Replies 1 ·
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1

Graduate What is the motivation for the Galerkin Method?

  • Hologram0110
  • · Replies 11 ·
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11

Solving the D'Lembert Method with Multiple Conditions

  • Markov2
  • · Replies 2 ·
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2

Undergrad Hello,I know solution method for solving differentialequations.

  • HWGXX7
  • · Replies 4 ·
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4

How Can Bessel Functions Be Integrated Using Recurrence Relations?

  • alexmahone
  • · Replies 3 ·
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3

Making homogenous a wave equation

  • Markov2
  • · Replies 1 ·
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1

Graduate Transfer function of a PDE system

  • matinking
  • · Replies 4 ·
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4

Motion of an Element: Understand Rheology Notes

  • renlok
  • · Replies 1 ·
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1

Identifying Closed Orbits in Enzyme Kinetics Equations

  • Dustinsfl
  • · Replies 27 ·
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27

Undergrad What is the Derivation for a Point on a Circle?

  • ivjohn
  • · Replies 1 ·
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1

Undergrad I need a little help with differentials

  • James2
  • · Replies 3 ·
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3
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2
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2

PDE and more boundary conditions

  • Markov2
  • · Replies 2 ·
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2

Undergrad General Solution for dy/dt=2ty+4e^(t^2)

  • stasianlov
  • · Replies 2 ·
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2

Graduate Classical solution of PDE with mixed boundary conditions

  • A. Neumaier
  • · Replies 5 ·
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5

How to Derive the Solvability Condition for a Biological Matrix?

  • Dustinsfl
  • · Replies 6 ·
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6

Modifying the Lotka-Volterra Predator-Prey Model for Insecticide Use

  • Dustinsfl
  • · Replies 7 ·
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7

Is the Uptake Equation Different When $k_2 = 0$?

  • Dustinsfl
  • · Replies 3 ·
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3

Undergrad Find steady state of constant heat application

  • MTEXX
  • · Replies 1 ·
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1

Graduate Y''(x) + A sin(y(x)) - B = 0; A,B : positive, real

  • tarquinius
  • · Replies 2 ·
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2

Graduate Cauchy Method/ UC set OR Variation of Param?

  • dgutierrez079
  • · Replies 1 ·
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1

Undergrad Find the equilibrium solution and eigenvalues and eigenvectors of system?

  • Norm850
  • · Replies 4 ·
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4

Graduate Why Is My Integrating Factor Not Solving the Exact ODE?

  • ozone
  • · Replies 3 ·
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3

Equilibrium Soln for $u_{t}=K u_{xx}+\gamma$

  • Markov2
  • · Replies 4 ·
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4

Graduate Solving 4th Order Diff. Eq. with Complex Root: Daunting Task?

  • zoom1
  • · Replies 4 ·
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4

Graduate How to decompose a function into exponential functions?

  • wdlang
  • · Replies 1 ·
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1

Finding $f$ When $6\int_{1}^{x} f(t)\, dt+5=3x \, f(x)-x^3$

  • sbhatnagar
  • · Replies 3 ·
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3

Graduate Is my solution for a differential equation with a forcing function correct?

  • zoom1
  • · Replies 6 ·
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6

How Do Mutualism Dynamics Model the Interdependence of Species?

  • Dustinsfl
  • · Replies 1 ·
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1

What is the Inverse Laplace Transform of 2s+7-e^-2s/(s+1)^2?

  • alexmahone
  • · Replies 3 ·
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3

What is the Laplace transform of a step function?

  • alexmahone
  • · Replies 5 ·
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5

Graduate What is the relationship between stability and the derivative of a fixed point?

  • smehdi
  • · Replies 10 ·
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10

Graduate Existence and uniqueness of differential solution, help?

  • Lengalicious
  • · Replies 10 ·
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10

Does the Logistic Difference Equation Have an Exact Sinusoidal Solution?

  • Dustinsfl
  • · Replies 8 ·
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8

Graduate Solving ODE Problems: Understanding Tangent Lines and Integrating Functions

  • c.teixeira
  • · Replies 2 ·
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2

Undergrad What is the significance of rotation in equations?

  • wumple
  • · Replies 2 ·
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2

Graduate Solving Coupled PDEs with Forcing Function - Nick

  • nickthequick
  • · Replies 3 ·
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3

Undergrad Finding a formula for this curve

  • BoomMath
  • · Replies 2 ·
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2

Graduate Classifying ODE's: What Determines Linearity and Order?

  • Lengalicious
  • · Replies 3 ·
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3

Graduate Help with PDE in circular annulus(poisson eq)

  • smoger
  • · Replies 3 ·
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3

Graduate Probability transitions for branching process

  • kai_sikorski
  • · Replies 2 ·
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2

Graduate What is the usage of Kelvin function?

  • Chuck88
  • · Replies 8 ·
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8

Why does the population go to extinction if the solution is real?

  • Dustinsfl
  • · Replies 5 ·
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5

Graduate Can the Cross Product of a Vector Field and Its Conjugate Be a Gradient?

  • Mentia
  • · Replies 3 ·
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3

Graduate How Do You Solve This PDE Using Separation of Variables?

  • Inigma
  • · Replies 3 ·
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3

Graduate Reducing algebraic function to DE

  • jackmell
  • · Replies 1 ·
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1

Graduate Solving System of Coupled DEs: Parametrized Curve Solution

  • Si-duck
  • · Replies 1 ·
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1

Graduate The doubt of Seperation of Variables

  • Chuck88
  • · Replies 7 ·
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7

Dirichlet Problem for Laplace's Equation Outside of a Disc

  • davesface
  • · Replies 1 ·
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1

Graduate System of two differential equations with trigonometric functions

  • mnb96
  • · Replies 6 ·
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6

Bifurcations, steady states, model analysis

  • Dustinsfl
  • · Replies 1 ·
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1

Undergrad Finding the maximum and minimum values

  • Kork
  • · Replies 2 ·
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2

Undergrad Can Numerical Methods Solve an ODE Without Initial Conditions?

  • Inigma
  • · Replies 5 ·
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5

Undergrad Harmonic motion with a spring question

  • Norm850
  • · Replies 1 ·
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1

Graduate Help with SDE - Geometric brownian motion exercise

  • omega_squared
  • · Replies 8 ·
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8

Graduate Question on theory/purpose of Sturm-Liouville's theory

  • fluidistic
  • · Replies 13 ·
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13

Way to calculate/approximate 2D Fourier transform?

  • TriKri
  • · Replies 6 ·
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6