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.
Graduate Using substiution of the form v=1/y^k to solve 1st order DE
  • · Replies 1 ·
Replies
1
Views
2K
Graduate How Is a Nonlinear Equation Linearized in FEM Software?
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad Differential Equation: 1st-Order in Time, 2nd-Order in Space
  • · Replies 3 ·
Replies
3
Views
2K
Graduate What is the inverse Laplace transform of L^{-1}(\frac{1}{\sqrt{1+s^2}})?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad What Are the Applications of Differential Equations in Mathematics?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Different methods to solving PDE's
  • · Replies 3 ·
Replies
3
Views
5K
Undergrad Solving Second Order Differential Equations
  • · Replies 23 ·
Replies
23
Views
14K
Graduate Inhomogeneous wave equation help
  • · Replies 4 ·
Replies
4
Views
10K
Graduate Solving Diffusion Equation u_t=div(A\nabla u) Numerically
  • · Replies 1 ·
Replies
1
Views
2K
Graduate What Are the Best Algebraic Methods for Approximating Non-Linear ODE Solutions?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Laplace transforms to do integrals?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Frobenius Method: Finding Smaller Root with Larger
  • · Replies 5 ·
Replies
5
Views
12K
Graduate Having Trouble Solving Predator-Prey Equations?
  • · Replies 4 ·
Replies
4
Views
9K
Graduate Solving Coupled ODEs: x(t) and y(t)
  • · Replies 3 ·
Replies
3
Views
2K
High School Solving y''=0: Understanding the Solution for y=c1+c2x
  • · Replies 1 ·
Replies
1
Views
20K
Graduate Laplace equation in cylindrical coordinates
  • · Replies 9 ·
Replies
9
Views
7K
Graduate System of nonhomogeneous difference equation
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Analytical Solution to Poisson's Equation
  • · Replies 2 ·
Replies
2
Views
9K
Graduate Change of variable, second order differentiation
  • · Replies 2 ·
Replies
2
Views
8K
Graduate Second order differential equation
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Do Eigenfunctions Differ in a Square Helmholtz Problem?
  • · Replies 5 ·
Replies
5
Views
6K
Graduate When do these methods for PDEs apply?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Solve 0=u''+u*e^x | Poincare Return Map
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad How to Solve Differential Equations Using Maple?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Arctan Identity: Solving t_0 for z=0
  • · Replies 2 ·
Replies
2
Views
5K
Graduate Solving y'(x) + x*y''(x) with UDC
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Why not separable (basic question)?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Solve Two Coupled ODEs with Picard's Iteration
  • · Replies 7 ·
Replies
7
Views
5K
Graduate Is f(x) of exponential order for the Laplace Transform?
  • · Replies 4 ·
Replies
4
Views
4K
Graduate How Do You Solve a PDE with Boundary Conditions Using Separation of Variables?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate First oder pde using laplce transform
  • · Replies 6 ·
Replies
6
Views
2K
Graduate How Can Variable Changes Simplify the One-Dimensional Wave Equation?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Finding the Convergence of an Equation - x[n] = 0.5(x[n-1]+x[n-2])
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Laplace Transforms, Region of Convergence
  • · Replies 4 ·
Replies
4
Views
11K
Graduate How to Build Complex Laplace Operator from First Principles
  • · Replies 3 ·
Replies
3
Views
6K
Graduate Stopping ODE solver on zero crossing
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad When Should I Beware of Factoring Out?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Help with simple numerical ODE problem from QM
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Euler's Method With Mass Balance o.d.e's
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Help solving 2nd order differential equation
  • · Replies 5 ·
Replies
5
Views
3K
Graduate How to Derive Green's Function for the Laplacian in 3D?
  • · Replies 1 ·
Replies
1
Views
5K
Graduate What is the Meaning of the Eikonal Equation?
  • · Replies 1 ·
Replies
1
Views
8K
Undergrad Two second order differential equation
  • · Replies 8 ·
Replies
8
Views
4K
Undergrad Recommend good intro to PDEs book?
  • · Replies 8 ·
Replies
8
Views
6K
Graduate What is the Solution to the 2nd Order Nonlinear ODE y'' = x^2 * y?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Solve Differential Equation: x^2d^2y/dx^2+3xdy/dx+5y=3x
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How can I prove H(x,y) is a Lyapunov function for this system?
  • · Replies 3 ·
Replies
3
Views
4K
Graduate Understanding Dirac Delta Squares: Clarifying Doubts
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Newton's method for a system of equations
  • · Replies 4 ·
Replies
4
Views
4K
Graduate Simple looking but hard to solve nonlinear PDE
  • · Replies 3 ·
Replies
3
Views
7K
Graduate Peano Existence Theorem confusion
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Partial Derivatives and Implicit Function Thm.
  • · Replies 5 ·
Replies
5
Views
3K
Graduate How Can I Implement Non-linear Boundary Conditions in a 1-D PDE System?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate How do I model the falling of a skydiver using a DF?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate How to Solve the PDE 2Uxxy + 3Uxyy - Uxy = 0?
  • · Replies 3 ·
Replies
3
Views
5K
Graduate System of linear second order differential equations
  • · Replies 9 ·
Replies
9
Views
7K
Undergrad Building an rc chopper and have a question to do with damping vibrarions
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Trigonometric Identity and Differential Equation question
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How can I use Runge Kutta to solve coupled first order DE's in Matlab?
  • · Replies 7 ·
Replies
7
Views
5K
Undergrad Separable Differential Equation (what's wrong?)
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Looking for a good Differential Equations Textbook
  • · Replies 3 ·
Replies
3
Views
4K
Undergrad How to Solve an ODE with Constant Non-Homogeneous Term and Boundary Conditions?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Solving 1st Order ODE for Laminar Flow: A Simple Guide | Jerome, Engineer
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Is Boundedness the Key to Proving Uniqueness in Initial Value Problems?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Solving the Fourth-Order Differential Equation: d4y/dt4 - λ4 y= 0
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Power Series Solutions of Laguerre Differential Equation
  • · Replies 1 ·
Replies
1
Views
11K
Graduate Maximizing a functional when the Euler-Lagrange equation's solution violates ICs
  • · Replies 13 ·
Replies
13
Views
4K
Graduate 2nd order linear hyperbolic PDE?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate What Is the Radius of Convergence for This Second-Order ODE Series Solution?
  • · Replies 5 ·
Replies
5
Views
3K
High School Explore the Benefits of Personal Financial Planning
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Can You Solve This Non-linear PDE with Variable Separation?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Solving First Order Differential Equation using substitution
  • · Replies 3 ·
Replies
3
Views
5K
Undergrad How to Solve These Vector Field Equations?
  • · Replies 5 ·
Replies
5
Views
24K
Graduate Solving Bessel's Equation with Point of Indeterminations
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Partial differential: partial scalar partial vector
  • · Replies 3 ·
Replies
3
Views
5K
Graduate Efficient Solutions for Solving First Order ODE with Constant A
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Need help with Impulse function and unit step function at singularity
  • · Replies 6 ·
Replies
6
Views
9K
Graduate Max Tension of a Chain on Vertical Poles: Find T as a Function of L
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Approximations used in Crank-Nicolson method for solving PDEs numerically
  • · Replies 7 ·
Replies
7
Views
7K
Graduate Nonlinear ODE Help: Strategies to Solve a Challenging 1st Order PDE
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Why Use Two Arbitrary Constants in Circle Parametrization for PDEs?
  • · Replies 3 ·
Replies
3
Views
5K
Graduate Is the Modified Hamilton-Jacobi Equation a Wave Equation?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Regular singular points (definition)
  • · Replies 3 ·
Replies
3
Views
7K
Undergrad Unsolvable differential equations?
  • · Replies 6 ·
Replies
6
Views
13K
Undergrad A difficult differential problem to solve.
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Method of residues integration problem
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Why is \partial/\partialx[K(x,u)\partialu/\partialu] Not a Linear Operator?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Use of method of undetermined coefficients
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Help with 1st order quasilinear PDE
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Can a distribution or delta function solve a NONlinear ODE or PDE
  • · Replies 2 ·
Replies
2
Views
3K
Graduate How to Solve This Second-Order Non-Linear ODE Involving Functions a(r) and b(r)?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Solution of State Eqs when A matrix is Time dependent
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Questions regarding dummy variables
  • · Replies 1 ·
Replies
1
Views
4K
Graduate General Solution of dy/dt = -2ty + 4e^(-t^2) w/ Initial Value Problem
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad First order DE with exponential
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Solving IVP: Is My Answer Correct?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate What is the characteristic equation for a first order linear PDE?
  • · Replies 8 ·
Replies
8
Views
4K
Graduate First order linear PDE-the idea of characteristic curves
  • · Replies 3 ·
Replies
3
Views
8K
Undergrad Different type of differential question most ppl used to
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Integrals of Trigonometric Functions
  • · Replies 1 ·
Replies
1
Views
2K