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 No Time Term in Elliptic PDEs? Confirm Here!

  • charlies1902
  • · Replies 1 ·
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Graduate Second order differential equation

  • engnrshyckh
  • · Replies 9 ·
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9

Is the Laplace Transform Calculation Correct for a Given Function?

  • ineedhelpnow
  • · Replies 2 ·
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How do I find the Laplace Transform for U3(t)(t-3)^5/2?

  • ineedhelpnow
  • · Replies 4 ·
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4

Laplace Transform: Basic Concepts & Applications

  • ineedhelpnow
  • · Replies 2 ·
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2

Graduate Solving Non-Linear ODE: Tips and Guidance from PF Community

  • member 428835
  • · Replies 11 ·
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11

How to solve an ODE in powers of x?

  • ineedhelpnow
  • · Replies 2 ·
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2

Laplace equation and Median Value Property

  • Julio1
  • · Replies 1 ·
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1

Graduate Solving Boundary Conditions in 2D Axisymmetrical Model

  • Giorgia
  • · Replies 1 ·
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1
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3

Graduate Find General Solution for Inhomogeneous 2nd ODE

  • Tzabcan
  • · Replies 3 ·
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3

Graduate Time dependent three dimensional dirac delta function

  • chiraganand
  • · Replies 2 ·
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2

Graduate Math expression for a developing waveform?

  • Sturk200
  • · Replies 1 ·
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1

Graduate Ordinary differential equations. Series method.

  • LagrangeEuler
  • · Replies 5 ·
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5

Proving Laplace Equation in $\Omega_{(a,b)}$

  • Julio1
  • · Replies 5 ·
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5

Graduate What is the solution for the attached equation?

  • eahaidar
  • · Replies 4 ·
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4

Graduate Solve coupled nonlinear differential equations

  • eahaidar
  • · Replies 13 ·
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13

Graduate What would the laplace inverse of a laplace be?

  • Jim wah
  • · Replies 2 ·
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2

Graduate Determine coefficients of a differential equation

  • jackonelli
  • · Replies 1 ·
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1

How Can You Reduce This PDE to Its Canonical Form?

  • Julio1
  • · Replies 5 ·
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5

Undergrad Vector Wave Equation: Uses & Benefits

  • wasi-uz-zaman
  • · Replies 4 ·
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4

Graduate Problem integrating a double integral

  • hoomanya
  • · Replies 5 ·
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5

Graduate How would I take the laplace transform of f(t)= te^tsin^2(t)?

  • Jim wah
  • · Replies 6 ·
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6

Undergrad What did I do wrong in solving this basic differential equation?

  • Tzabcan
  • · Replies 2 ·
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2

Express 3sin(3x)-4cos(3x) in the form Rcos(3x+\alpha)

  • ThomsonKevin
  • · Replies 1 ·
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1

Graduate Power series solution, differential equation question

  • Honey Bee
  • · Replies 2 ·
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2

Solving 2nd order differential equation numerically

  • tejsa1
  • · Replies 9 ·
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9

Graduate System of ODEs with RK4 & step doubling in Fortran : damping

  • Tabatta
  • · Replies 2 ·
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2

Graduate Nonlinear heat equation -- Handling the conductivity

  • maka89
  • · Replies 19 ·
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19

Graduate Relation between energy conservation and numerical stability

  • hoomanya
  • · Replies 2 ·
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2

Linear differential equations with constants coefficients

  • mathmari
  • · Replies 1 ·
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1

Graduate Is the Dirac Delta Function Squared Equal to Itself?

  • jk22
  • · Replies 2 ·
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2

Graduate Approximate solution of differential equation

  • zhanhai
  • · Replies 3 ·
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3

Graduate Why does this "clearly" solve the heat equation?

  • jaskamiin
  • · Replies 5 ·
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5

Graduate Nonlinear PDE Help: Solving \alpha(uu_x)_x = u_t | Initial Value Problem Tips"

  • maka89
  • · Replies 2 ·
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2

Graduate Estimating the Parameter 'a' from ODE System

  • Bita_La
  • · Replies 2 ·
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2

How do we choose the number of subintervals?

  • evinda
  • · Replies 3 ·
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3

Order of Accuracy for Finite Difference Method Backward Euler

  • evinda
  • · Replies 1 ·
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1

Graduate Can Klein-Gordon Equation Solutions Have Compact Support?

  • naima
  • · Replies 3 ·
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3

Graduate Is there a way to verify the correctness of decoupled linear ODE solutions?

  • SteliosVas
  • · Replies 3 ·
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3

Calculating Average Acceleration for Changing Velocity and Direction

  • ognik
  • · Replies 4 ·
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4

Undergrad Fundamental matrix vs Wronskian

  • summerha
  • · Replies 2 ·
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2

Undergrad General Question About a System of DE's

  • transmini
  • · Replies 8 ·
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8

Graduate Can Euler Forward or 4th Order Runge-Kutta Methods Approximate Systems of ODEs?

  • worryingchem
  • · Replies 2 ·
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2

How to Integrate and Compare Solutions for a Partial Differential System?

  • arrow27
  • · Replies 5 ·
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5

Graduate Green's functions for translationally invariant systems

  • "Don't panic!"
  • · Replies 13 ·
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13

Linear differential equation of first order in EXP(C)

  • mathmari
  • · Replies 5 ·
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5

Graduate How do you work out wave envelopes and asymmetries?

  • tim9000
  • · Replies 1 ·
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1

Graduate Bellman Equation, Dynamic Programming, state vs control

  • onthetopo
  • · Replies 5 ·
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5

Graduate Understanding Well-Posed Differential Equations: Tips and Techniques

  • member 428835
  • · Replies 4 ·
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4

Undergrad Linear vs nonlinear diff equation II

  • Calpalned
  • · Replies 5 ·
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5

Undergrad Find Particular Solution for x = 120 cos 6t

  • Abdul.119
  • · Replies 2 ·
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Undergrad Determining the value of a constant

  • Calpalned
  • · Replies 3 ·
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3

High School Linear vs nonlinear diff equation

  • Calpalned
  • · Replies 2 ·
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2

Existence of solution of a linear differential equation

  • mathmari
  • · Replies 1 ·
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1

Graduate Finite differencing on non-uniform grids

  • hunt_mat
  • · Replies 2 ·
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2

Learning Lagrange Mesh Method for 1D Schrödinger Eqtn.

  • ognik
  • · Replies 2 ·
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2

Graduate Finite difference method to solve first-order, multivariable

  • idraftscience
  • · Replies 3 ·
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3

Solving a Boundary Value Problem: Non-Uniform vs. Uniform Partitioning

  • evinda
  • · Replies 1 ·
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1

Undergrad Solving ODEs with Heun's Method: A Question

  • yugeci
  • · Replies 1 ·
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1

Graduate Matrix-free iteration methods and implicit ODE solvers

  • percolator
  • · Replies 1 ·
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1

Partial Differntial problem Cauchy

  • arrow27
  • · Replies 2 ·
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2

Reduction of linear or non linear equation to first order.problem

  • danny12345
  • · Replies 1 ·
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1
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1

Graduate How Does Changing the Right-Hand Side of the Matrix Affect the ODE Solution?

  • Bruno Tolentino
  • · Replies 1 ·
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1

How to Make $y(x^3e^{xy}-y) \, dx+x(xy+x^3e^{xy}) \, dy=0$ Exact?

  • danny12345
  • · Replies 1 ·
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1

Solve Periodic Problem: Find Function $u \in C^2(\mathbb{R})$

  • evinda
  • · Replies 2 ·
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2

Undergrad How boundary conditions help in finding integration constant

  • gracy
  • · Replies 1 ·
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1

Graduate Why Does Increasing Final Run Time Cause Divergence in Finite Differencing?

  • member 428835
  • · Replies 96 ·
4
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96

Graduate Two-Phase Darcy Flow: Modeling & Solving

  • maka89
  • · Replies 1 ·
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1

Graduate Exact Linear Second-Order Equations

  • Bruno Tolentino
  • · Replies 1 ·
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1

Graduate System of Implicit Non-Linear First Order ODEs

  • CSteiner
  • · Replies 5 ·
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5

Solve Cauchy Problem: Help Needed with Separate Variable Method

  • Julio1
  • · Replies 1 ·
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1

Graduate Reduction of 2nd order PDE to a first order equations system

  • Auteng
  • · Replies 2 ·
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2

Grothendieck Problem: Solving $(*)$ Algebraically

  • mathmari
  • · Replies 1 ·
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1

Undergrad Very basic Q about solns to y" = y

  • kostoglotov
  • · Replies 2 ·
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2

Graduate Solve Differential Equation with Euler's Method

  • youcef
  • · Replies 15 ·
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15

How is Rodrigue's Formula Derived?

  • danny12345
  • · Replies 2 ·
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2

Graduate How Do Initial Conditions Affect Damping in a Mass-Spring-Damper System?

  • tomizzo
  • · Replies 1 ·
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1

Graduate X''(t) required for reciprocal of X'(t) to be constant

  • NotASmurf
  • · Replies 4 ·
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4

General solution to 2nd order....

  • rayne1
  • · Replies 6 ·
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6

Integrating Factor: Solve x ln(x) dy/dx = xe^x

  • tiaborrego
  • · Replies 7 ·
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7

Graduate Sturm-Liouville operator, operating on what?

  • HeisenbergsDog
  • · Replies 13 ·
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13

Graduate Q about Poisson eqn w/ Neumann boundary conditions as in Jackson

  • hideelo
  • · Replies 5 ·
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5

Graduate System of ODE - comparison with paper

  • dimandr
  • · Replies 3 ·
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3

Undergrad Why Is a Particular Solution Necessary in Differential Equations?

  • LumenPlacidum
  • · Replies 4 ·
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4

Classifying Equation 1: Linear, Semilinear or Quasilinear?

  • Julio1
  • · Replies 8 ·
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8

Solving DE using Frobenius series method

  • ssh
  • · Replies 4 ·
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4

Graduate Is pertubation a linear operation?

  • rkrishnasanka
  • · Replies 3 ·
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3

Graduate Physical interpretation for system of ODE

  • Bruno Tolentino
  • · Replies 2 ·
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2

Graduate Does a Submanifold Correspond to the Center Manifold?

  • jollage
  • · Replies 5 ·
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5

Putting it all together: The Deuteron

  • ognik
  • · Replies 1 ·
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1

Graduate Series Solution of Differential Equations - Real or Fake?

  • Pejman
  • · Replies 3 ·
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3

Q(x)=0 special case self-adjoint eqtns

  • ognik
  • · Replies 4 ·
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4

Undergrad Violating intial conditions: ODEs

  • CharlesNguyen
  • · Replies 2 ·
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2

Why is there a * in the 2nd integral for self-adjoint ODEs?

  • ognik
  • · Replies 8 ·
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8

Undergrad What is the relationship between eigenvalues and eigenvectors in 3x3 matrices?

  • hellomrrobot
  • · Replies 4 ·
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4

Bernoulli Equation Checking the solution

  • cbarker1
  • · Replies 1 ·
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1

What is the Initial Population of Bacteria in a Culture?

  • rayne1
  • · Replies 4 ·
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4

Undergrad If Dy/Dx=5, Dr/D(theta)= 18, and y=40, find theta.

  • TDavenport
  • · Replies 4 ·
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4