Differential Equations Forum

Post thread
Join in expert discussion on differential equation topics like ODE and PDE. Differential equations are an equation involving derivatives of a function or functions.
A Solving a PDE in four variables without separation of variables
  • · Replies 4 ·
Replies
4
Views
3K
MHB How Can You Analyze and Solve These Complex Differential Equations?
  • · Replies 2 ·
Replies
2
Views
2K
A Finite Difference solver for 2D Elasticity equations
  • · Replies 3 ·
Replies
3
Views
2K
I Can initial conditions for an ODE be given by functions instead of constants?
  • · Replies 10 ·
Replies
10
Views
2K
I How Can I Solve a Differential Equation with Non-Constant Coefficients?
  • · Replies 19 ·
Replies
19
Views
3K
I Convert complex ODE to matrix form
  • · Replies 2 ·
Replies
2
Views
2K
I Norm of a Functional and wavefunction analysis
  • · Replies 2 ·
Replies
2
Views
2K
B Solve ODE with Fractional Term: Find Solutions
  • · Replies 2 ·
Replies
2
Views
2K
B Solving a differential equation with a unit vector in it
  • · Replies 13 ·
Replies
13
Views
3K
I Physics? Setting up PDE for air resistance at high velocity
  • · Replies 2 ·
Replies
2
Views
2K
MHB Inverse and differentation of an equation
  • · Replies 16 ·
Replies
16
Views
4K
I Homogeneous Wave Equation and its Solutions
  • · Replies 3 ·
Replies
3
Views
3K
A Unraveling the Confusion: Mistakes in Solving PDEs in Spherical Coordinates?
  • · Replies 12 ·
Replies
12
Views
2K
A Fourier Transform for 3rd kind of boundary conditions?
  • · Replies 1 ·
Replies
1
Views
1K
I 2nd order ODE numerical solution
  • · Replies 9 ·
Replies
9
Views
3K
I Need a help in solving an equation (probably differentiation
  • · Replies 2 ·
Replies
2
Views
2K
A Convergence order of central finite difference scheme
  • · Replies 7 ·
Replies
7
Views
5K
MHB Bounded Solution For Differential Inequality
  • · Replies 5 ·
Replies
5
Views
2K
MHB Integrating Factors for Solving Differential Equations
  • · Replies 7 ·
Replies
7
Views
4K
A Understanding dummy variable in solution of 1D heat equation
  • · Replies 6 ·
Replies
6
Views
2K
MHB Problem 13 from section 16.1 of Taylor's PDE textbook.
  • · Replies 1 ·
Replies
1
Views
1K
A Is the discretization for the PDE correct?
  • · Replies 3 ·
Replies
3
Views
2K
I Symmetry in differential equations
  • · Replies 3 ·
Replies
3
Views
2K
A What is the method for calculating the dampening of thermal oscillations?
  • · Replies 5 ·
Replies
5
Views
2K
I Why Does This Higher Order Derivative Equation Hold?
  • · Replies 2 ·
Replies
2
Views
2K
I Three different integration schemes
  • · Replies 1 ·
Replies
1
Views
1K
A Better way to find Finite Difference
  • · Replies 12 ·
Replies
12
Views
2K
I Partial Vector Derivative: Is This the Correct Derivative of B?
  • · Replies 3 ·
Replies
3
Views
2K
I Resolution of a PDE with second order Runge-Kutta
  • · Replies 6 ·
Replies
6
Views
4K
A Finite difference of fourth order partial differential
  • · Replies 6 ·
Replies
6
Views
3K
A How can I plot a 3D phase space for a system of differential equations?
  • · Replies 4 ·
Replies
4
Views
3K
MHB Well-posedness of a complex PDE.
  • · Replies 5 ·
Replies
5
Views
2K
A Laplace equation- variable domain
  • · Replies 2 ·
Replies
2
Views
2K
I Heat equation with variable coefficients
  • · Replies 15 ·
Replies
15
Views
3K
I Complex representation of wave function
  • · Replies 2 ·
Replies
2
Views
2K
A Cylindrical Poisson equation for semiconductors
  • · Replies 4 ·
Replies
4
Views
2K
B Simple double integration of square wave question
  • · Replies 19 ·
Replies
19
Views
9K
A Transforming a PDE with Laplace method
  • · Replies 2 ·
Replies
2
Views
1K
I The role of the weight function for adjoint DO
  • · Replies 3 ·
Replies
3
Views
2K
I Is the Laplacian Operator Different in Radial Coordinates?
  • · Replies 1 ·
Replies
1
Views
3K
A Complex notation in telegrapher's equations
  • · Replies 2 ·
Replies
2
Views
2K
MHB Solutions to Bessel's equation with Wolfram
  • · Replies 2 ·
Replies
2
Views
2K
I Separation of variables for nonhomogeneous differential equation
  • · Replies 2 ·
Replies
2
Views
3K
I Question about second order linear differential equations
  • · Replies 6 ·
Replies
6
Views
2K
A Efficient Solutions for the Poisson-Boltzmann Equation in a Rectangular Domain
  • · Replies 3 ·
Replies
3
Views
1K
A Problems with identities involving Legendre polynomials
  • · Replies 16 ·
Replies
16
Views
2K
A Equilibrium in system of non-linear difference equations
  • · Replies 3 ·
Replies
3
Views
2K
I Sturm-Liouville theory in multiple dimensions
  • · Replies 8 ·
Replies
8
Views
5K
MHB Find a product solution to the following PDE
  • · Replies 6 ·
Replies
6
Views
5K
I Green's function and the evolution operator
  • · Replies 33 ·
2
Replies
33
Views
5K
I Second order PDE with variable coefficients
  • · Replies 5 ·
Replies
5
Views
3K
I Substitution in partial differential equation
  • · Replies 1 ·
Replies
1
Views
2K
A A system of partial differential equations with complex vari
  • · Replies 1 ·
Replies
1
Views
1K
A Discretization for a fourth-order PDE (and solution)
  • · Replies 2 ·
Replies
2
Views
2K
I Question regarding integration of an equation
  • · Replies 20 ·
Replies
20
Views
3K
I What are partial differential equations?
  • · Replies 26 ·
Replies
26
Views
4K
MHB -17.2.0 Solve y''+7y'+10y=80 by undetermined coefficients.
  • · Replies 9 ·
Replies
9
Views
3K
I Free pdf for PDE on AMS Open Math Notes
  • · Replies 2 ·
Replies
2
Views
2K
A Some questions regarding the ADI Method
  • · Replies 1 ·
Replies
1
Views
2K
I When is a Constant a Solution to a Differential Equation
  • · Replies 11 ·
Replies
11
Views
3K
MHB -Identify the equilibrium values y'=5\sqrt{5},y>0
  • · Replies 2 ·
Replies
2
Views
2K
MHB Elimination of Arbitrary Constant
  • · Replies 6 ·
Replies
6
Views
3K
I What is the Result of this Partial Derivative
  • · Replies 3 ·
Replies
3
Views
2K
I Can Differential Equations with Quadratic Terms Be Solved Analytically?
  • · Replies 4 ·
Replies
4
Views
1K
I Quick Differential Form Question
  • · Replies 5 ·
Replies
5
Views
2K
I Question About Exact Differential Form
  • · Replies 7 ·
Replies
7
Views
2K
MHB Method of separation of variables
  • · Replies 3 ·
Replies
3
Views
2K
I Laplace equation boundary conditions
  • · Replies 6 ·
Replies
6
Views
2K
MHB -17.2.05 by undetermined coefficients.
  • · Replies 16 ·
Replies
16
Views
4K
A A system of DEs with variable coefficients.
  • · Replies 3 ·
Replies
3
Views
1K
A 2D Cartesian Laplace equation with a single point diffusion
  • · Replies 6 ·
Replies
6
Views
3K
MHB Solving the Wave Equation: Finding $u(x,t)$
  • · Replies 2 ·
Replies
2
Views
2K
I Independence of variables in Convolution
  • · Replies 1 ·
Replies
1
Views
1K
I Two point boundary problem - Shooting method
  • · Replies 8 ·
Replies
8
Views
5K
MHB -242.17.8 Solve y''-10y'+25y&=2e^{5x} by variation of parameters.
  • · Replies 4 ·
Replies
4
Views
2K
A Unusual Bessel-like Differential Equation with Negative Sign
  • · Replies 2 ·
Replies
2
Views
2K
A Finite difference formulation ideas (journal verification)
  • · Replies 8 ·
Replies
8
Views
2K
A 2nd Order PDE Using Similarity Method
  • · Replies 5 ·
Replies
5
Views
2K
I Electrical circuit differential equation
  • · Replies 7 ·
Replies
7
Views
2K
I Constructing a 2nd order homogenous DE given fundamental solution
  • · Replies 3 ·
Replies
3
Views
2K
A Conceptual Solution of a First Order PDE
  • · Replies 3 ·
Replies
3
Views
1K
I Weak Maximum Principle Explained
  • · Replies 1 ·
Replies
1
Views
1K
MHB Is the Solution Unique? Investigating the Uniqueness of a Boundary Value Problem
  • · Replies 2 ·
Replies
2
Views
2K
MHB -17.2.9 Solve \ y''-y&=2e^{-x}+3e^{2} by undetermined coefficients
  • · Replies 4 ·
Replies
4
Views
2K
MHB -auxiliary eq for y''+9y&=5\cos{5x}
  • · Replies 15 ·
Replies
15
Views
3K
MHB Find Solution to Cauchy Problem & Determine Space in $\mathbb{R}^2$
  • · Replies 9 ·
Replies
9
Views
3K
I Uniqueness and Existence Theorm
  • · Replies 7 ·
Replies
7
Views
3K
MHB -17.2.02 - Solve 2nd order ODE using undetermined coefficients.
  • · Replies 2 ·
Replies
2
Views
2K
MHB -17.2.01 Solve the given equation by the method of undetermined coefficients
  • · Replies 3 ·
Replies
3
Views
2K
A 2D Finite Difference formulation in polar coordinates.
  • · Replies 4 ·
Replies
4
Views
5K
MHB How can we extend the solution of an initial value problem using Fourier series?
  • · Replies 28 ·
Replies
28
Views
6K
A RK method for heat equation with dependent variables
  • · Replies 1 ·
Replies
1
Views
1K
I 2D Laplacian in polar coordinates
  • · Replies 3 ·
Replies
3
Views
2K
MHB Odd & Even Extension of a Function: Explained
  • · Replies 4 ·
Replies
4
Views
3K
I Determining the coefficient of the legendre polynomial
  • · Replies 2 ·
Replies
2
Views
3K
I Lagrange Pendulum Equation of Motion
  • · Replies 5 ·
Replies
5
Views
2K
MHB -17.2.53 Find the unique solution from initial conditions.
  • · Replies 5 ·
Replies
5
Views
3K
MHB -17.2.10 y_p is a particular solution
  • · Replies 7 ·
Replies
7
Views
2K
I What is the closed form expression for f(a,b,n)?
  • · Replies 7 ·
Replies
7
Views
2K
A Implementing a weird-looking boundary condition (PDE/FDM)
  • · Replies 8 ·
Replies
8
Views
3K