Differential Equations Forum

Why can we only change the wavenumber?

Graduate How do I numerically solve a non-linear ODE in Mathematica?

Differential equation - Green's Theorem

Have I Done Something Wrong in Solving This Hyperbolic Equation?

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Undergrad Integrating factor vs. Laplace. Engineering problems

Undergrad Velocity and acceleration vectors

Examples of uses for the Poisson Eqn in 1d

What are the solutions and domains for Homogenous Linear Equations (Wave)?

Graduate Solving Poisson Equation with Multigrid & PBC

Change of Variables: Diff Eqn $y''+ \frac{p}{x} y'+ \frac{q}{x^2}y=0$

Graduate Is the Discretization of this Differential Equation Accurate?

Can the Method of Characteristics Solve This PDE Problem?

How to approach this 2nd order linear ODE?

Graduate Numerical solution to Schrödinger equation - eigenvalues

Solve Differential Equation w/ Power Series Method

Graduate Is this correct second order approximation?

Graduate Fourier Derivation: Constants in Integrals Explained

Graduate PDE: How to use Fourier Series to express a real function?

Graduate Deriving the Solution for a PDE with Constants: What Method is Used?

Undergrad Difference between transforms and integrals/derivatives?

Graduate How to get rid of laplace of pressure in an equation

Find Tension in Horizontal Rope DE | Cylinder Mass & Angle θ

Solving y-y' equation with variable change r^2-x^2

Undergrad Absolute Values in Separable Differential Equations

Difference between a(t), a(v) and a(x)

Graduate How to get the laplacian of a scalar field?

Graduate Is (1+y^2) d^2y/dt^2 + t dy/dt + y = et a Linear Equation?

Undergrad Calculate the Pitch of a projectile with moving destination

Graduate Uncovering the Mystery of Using Cosine Transform in Fourier Analysis

Initial Conditions in Laplace Transform of Second Order Differential Equations

Finding interval where second order ODE has unique solution

Undergrad Can't understand solution by substitution, any help?

Graduate Understanding the Fourier Transform in Solving the Heat Equation

Graduate Dirichlet and Nuemann condition on the same boundary

Graduate 2D Stationary advection-diffusion eq. as a BVP

Undergrad Mastering Equation Solving: 3 Ways to Simplify Complex Equations

Graduate Roots of series of exponential raised to power of x?

Graduate Velocity and Mass to Acceleration

Graduate Modeling Radioactive Decay: Solving an IVP for a Series of Three Elements

Finding the explicit solution and the Interval of Validity

Graduate Help with first order second degree diff. eq.

Undergrad DE for modelling motion of a box

Undergrad Solve the ODE with initial condition:

Graduate A Question about fractional calculus

Understanding the Wronskian Determinant

Undergrad Understanding Differential Equations: Exploring Relations between Functions

Why ODE Linear? Initial Value Problem Explanation

Graduate Linear PDEs: A Simple Explanation

Graduate How to reduce higher order partial differential equations

Graduate What's the General Solution to This IVP?

Solve y(x) = y'(x) + ∫e^(2x)y(x)dx + lim y(x)

Solving the separable equation, putting it in explicit form

Need reassurance on "implicit" and "explicit" form

Compute the Wronskian & Simplify

Solving the IVP, leaving it in Implicit Form

Graduate Laplaces' s equation in spherical coordinates

Find the unique solution to the IVP

Second-order homogeneous linear differential equation

How to Determine the Limit of a Differential Equation Solution?

Graduate What is the purpose of the Wronskian in solving second order linear ODEs?

What are the solutions to $t^2y'' - 2y = 0$ in the form of $y = t^p$?

Finding the explicit solution to the IVP

Proving coercivity for weak form

Graduate On the orthogonality of Sturm-Liouville eigenvectors

General solution of x²y'+2xy+1=0 with boundary condition

PDE Solving Continuity Equation

Graduate Please explain the method of steepest descent?

Need help setting up Differential Equation to solve

How Do You Solve a Partially Decoupled System of Differential Equations?

Graduate Euler method for modeling simple harmonic oscillation

Evaluate the value of the product

Undergrad Help with an easy Laplace transform

Growth proportional to square root of worth.

Graduate Can you cancel a function out of a differential equation?

Undergrad First-Order Equations: don't understand a simplification step

Graduate Numerical Solution to Complex DiffEQ?

Graduate How big of a field is Differential Forms?

Graduate Need help solving second-order nonlinear differential eq

Graduate How to improve stabilities of numerical solutions of PDEs

Solving 6-dimensional Equations | Find Unknown Numbers

Graduate Mastering PDEs with Similarity Solutions: Tips and Tricks from the Pros

Determine whether the equation is exact. If it is exact, find the solution

Graduate Nonlinear transform can separate function composition?

Undergrad Boundary absorption when simulating wave equation

Identifying the Degree of a Differential Equation

Graduate PDE and differentiating through the sum

Solution of Separable Equation, Plotting Graph, Interval Estimation

Graduate Continuous-Time Markov Chain populations

Graduate What does the equation ∇-∇Φ=∇^2Φ represent in this proof?

Find the general solution of the given differential equation

Graduate Boundary conditions - unique solution

Graduate Leading term of a power-series solution

Graduate A question about Green's function

Undergrad Solving Separable ODEs: How to Integrate with Functions of t?

Graduate Numerically solving system of four PDEs

Graduate Navier-Stokes and why DP/Dz is constant

Undergrad Problem with a 'simple' equation?

Momentum operator in the position representation

Determining Order of Differential Equations

Does the Existence and Uniqueness Theorem Guarantee Solutions for dy/dx = 2xy²?