Differential Equations Forum

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Join in expert discussion on differential equation topics like ODE and PDE. Differential equations are an equation involving derivatives of a function or functions.
Undergrad How can I solve the equation x-esin(x)=4?
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Undergrad Vector space for solutions of differential equations
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Graduate Question about this Separable ODE statement in a book
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MHB Optimal Control for Differential Equations with L2 Control Constraint
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Graduate Solution to a differential equation with variable coefficients
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Graduate Differential Equations (Control Optimization Problem)
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High School A differential equation, or an identity?
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Undergrad Differential equation with two terms
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Undergrad Poisson's inhomogeneous PDE and its solutions
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MHB Solutions of the ODEs - 2 first order linear equations
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Undergrad Boundary Conditions For Modelling of a Fluid Using Euler's Equations
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Graduate Numerically calculating the solution for a non-homogeneous ODE system
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Graduate ODE -> Transfer Function Assistance
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Undergrad Vibration Problems -- Why must there be two solutions to the DE?
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Undergrad What is the Purpose of Modal Analysis in Mechanical Systems?
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Graduate Crank-Nicholson solution to the cylindrical heat equation
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MHB When do the combined heights of two Ferris wheels reach 27.5m?
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MHB -b.2.2.33 - Homogeneous first order ODEs, direction fields and integral curves
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MHB -b.2.1.11 Find the general solution y'+y=5sin{2t}
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MHB Existence of Unique Solution for Nonlinear System with Arbitrary Constants
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MHB What Method Solves the ODE y''(x) + y'(x) + F(x) = 0?
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MHB -2.2.31 First order homogeneous ODE
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Undergrad Solving a PDE for z(x,y) with Total and 2nd Derivatives: Step-by-Step Guide
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MHB -2.2.27 - Analysis of first order IVP
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Undergrad Mixed topic : from FEM to analytical solution via limits?
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Graduate Numerically solving matrix Riccati ODE
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MHB -b.2.2.26 Solve first order IVP and determine where minimum of solution occurs
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Graduate Partial Differential equation (Heat eqn)
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High School Complete set of solutions to the wave equation
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MHB What is the Solution to the Differential Equation dy/dx = (2cos 2x)/(3+2y)?
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MHB Solve x³+3xy²=-49 and x²-8xy+y²=8y-17x
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Undergrad Solving the Wave Equation via complex coordinates
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Undergrad Ω=0 and its magnitude for a unit pulse
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MHB -b.2.1.12 Find the general solution 2y'+y=3t^2
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Undergrad Solving a DE for modelling the spread of an infectious disease
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Undergrad Thermodynamics Differentiating logarithms
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Undergrad Deriving the differential equation for the underdamped case
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MHB Interval with Dirac function in a finite interval
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MHB Numerical Methods: Second Order Runge-Kutta Scheme
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High School What Is the Correct Inverse Laplace Transform of 1/s(s²+w²)?
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MHB Determine the position using an iteration method
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Graduate Partial differential equation containing the Inverse Laplacian Operator
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MHB Maximum value a function satisfying a differential equation can achieve.
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Graduate Identifying and solving a pair of ODE's
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Undergrad Rewriting a piecewise function using step functions
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Undergrad Find the only periodic solution of an ODE
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MHB Massaad's question via email about Laplace Transforms
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MHB Adam's question via email about Laplace Transforms
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Graduate 11 coordinate system for separation of variables
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Undergrad Can Non-Separable ODEs Be Solved with Coordinate Transformations?
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Graduate Rational Chebyshev Collocation Method For Damped Harmonic Oscilator
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Graduate Is this a known result? (hypergeometric function at special values)
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Undergrad Phase Plane Diagram w/ Complex eigenvalues
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High School How Can We Model the Coronavirus Using Predator-Prey Dynamics?
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MHB Dimensional regularizatoin of an integral
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Graduate LTI Impulse Response Estimation with Point Process Input
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Graduate Crank-Nicholson method and Robin boundary conditions
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Undergrad Bernoulli Equation with weird integral
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Undergrad Help getting started with this differential equation
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MHB Laplace / inverse laplace transform
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Undergrad DEs - Constants in Exercises: Why Not in General Forms?
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Undergrad PDEs: Laplace's Equation over a Parallelogram
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Undergrad D'Alembert solution for the wave equation: question about the speeds
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MHB Riccati's equation and Bessel functions
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Undergrad PDEs: Diffusion Equation Change of Variables
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Graduate How to Find Initial Conditions for a Fifth Order ODE in Visco-Elastic Models?
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Graduate Boundary conditions for the Heat Equation
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Graduate What are the uses of spherical harmonics?
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Graduate Fourier transform equation question
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Undergrad What is the most useful method to solve differential equations?
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Undergrad Separation of variables - Getting the Fourier coefficients
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MHB -307.28.1 Find the general solution to the system of DE
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Undergrad When and How to Solve ODEs: Clarity for Confused Students
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Undergrad Constants at the end of the Frobenius method
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Undergrad Question about the roots of Chebyshev polynomials
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Undergrad Solving an ODE with power series
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MHB Finding Time for a Kicked Ball
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Graduate Function differentiability and diffusion
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Undergrad Polynomial approximation of a more complicated function
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Undergrad Lyapunov Stability for a nonlinear system
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Undergrad What is the relationship between Coulomb's gauge and Maxwell's Lagrangian?
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Graduate Eigenvalues for a non self adjoint operator
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Undergrad ODE Fail: Numerical Solution Oscillations - Possible Solutions | Hi PF
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Undergrad What's a Non-Eigenvalue Problem Called?
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Undergrad Can the ODE \psi''-y^2\psi=0 be solved using a general method?
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Undergrad Solving an ODE with Legendre Polynomials
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Undergrad Finish and plot this separation of variables problem
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MHB Solution to function with power greater than 4
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MHB -m30b Convert the differential equation
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Undergrad What Is the Best Numerical Method for Solving a PDE on a 2D Annulus Grid?
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High School Solve a second-order differential equation
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MHB Solving 1st order non-linear ODE
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Undergrad How can we identify non-linear singular differential equation
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Undergrad Can the Second Plane Autonomous System Have a Unique Critical Point?
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Undergrad Find the general solution for the differential equation
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MHB -16.1 Find the general solution to the system of DE
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Graduate 3D Heat equation with elementary Dirichlet BC
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MHB -7.1 transform u''+0.5u'+2u=0 into a system of first order eq
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Undergrad Help discretizing this PDE (stream function)
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MHB Cp2.63 find the initial velocity
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