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 Symplectic integrator, non-separable Hamiltonian
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MHB Solving wave equation using Fourier Transform
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Undergrad How to find force parameters if you know the solution?
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Graduate How can the stability of an ODE system be determined without solving it?
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MHB What are the orthogonal trajectories of e^{x}(xcosy - ysiny) = c?
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Undergrad What defines a wave according to the wave equation?
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Undergrad Solution of the 1D heat equation
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Graduate Basis functions and spanning a solution space
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Undergrad Take a limit in this 2 equation system of 1st order ODEs
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Undergrad Heat Equation Problem: Solving c + 3d = 0
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MHB Solve Degree 2 Polynomial: 10.2 DE Notation Explained
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MHB Friedrich's Problem 3a: Asymptotic Relation and Exact Solution in ODEs
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Graduate Linearization of nonlinear grad(T) in the diffusion equation
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Undergrad How to get a Chaos Sequence from this Equation?
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Undergrad Solution for 1st order, homogenous PDE
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MHB Solve $\displaystyle 3y'-2y=e^{-\pi/2}\quad y(0)=a$: Find $a_0$ Exactly
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MHB -2.1.9 Find general solution of 2y'+y=3t
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MHB -b.1.3.19 Determine the values of r for t^2y''+4ty'+2y = 0
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Undergrad Continuity of Green's function
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MHB Can Rationalizing the Denominator Solve a Stuck Homogeneous Equation?
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MHB Vibrations of a Hanging Chain: Modeling Tension with PDEs
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Graduate Hint as to how to solve an integral differential equation
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High School What Is the Fourier Transform of a Constant?
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Undergrad Nonlinear Second Order ODE: Can We Find an Analytical Solution?
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High School Why the Fourier series doesn't work to solve any differential equation?
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MHB How can I solve a non-homogeneous equation using substitution?
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Graduate Determine PDE Boundary Condition via Analytical solution
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Undergrad Nonlinear Pendulum: Calculating Angular Displacement
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Graduate Which Transform to Use for Solving Thermoelastic PDEs?
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MHB Anti-derivatives of the periodic functions
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MHB How Do I Solve the Wave Equation with Given Initial Data?
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MHB Solving the Wave Equation with Nonzero Initial Velocity
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MHB How Can We Verify the Telegraph Equation for an Electrical Cable with Leakage?
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Undergrad Solving the Brachistochrone problem with friction
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Undergrad Derivative of f() as a function of a Laplacian
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MHB Solving the Wave Equation with Initial Data: Ex. 5 Solution and Derivation
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Undergrad Which function space do square waves span?
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MHB Euler equations having double roots as a solution
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MHB Differential Equations - Bernoulli equation
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MHB 2nd order differential equation - equation of motion
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MHB Euler’s Method y'+2y=2-e^(-4t) y(0)-1
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MHB -find general solution y'+2y=2-e^(-4t), y(0)=1
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MHB Difficult first order linear differential equation
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MHB -aux.2.7.15 Euler's y'=\frac{3t^2}{3y^2-4}; y(1)=0
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Undergrad How do I find the integrating factor for a differential equation?
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Undergrad How to solve an ODE to find its solution
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MHB -s1.2.4 Find the equilibrium solution y_e
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MHB Understanding Initial Value Problems: Solving for y in y' = y-5 with y(0) = y0
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Undergrad What Are the Roles of Beta, Prandtl, and Rayleigh in Chaos Theory?
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Undergrad How to check chaotic system using Lyapunov
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Undergrad Where does the exponential function come from in roots?
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MHB -1.1.1c Solve for the following initial value
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MHB How Do Boundary Conditions Affect Differential Equations?
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MHB How do I find the interval for solving this differential equation?
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MHB -2.2.20 IVP interval....trig subst y^2(1-x^2)^{1/2} \,dy=\arcsin{x}\,dx
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Undergrad Why Does the First Eigenfunction Have a Zero in Sturm-Liouville Problems?
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Undergrad Transfer Function relating momentum and force
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MHB Finding Iterative Solutions to Non-Linear Equations
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Undergrad Can Euler Integration Simplify Chaotic Systems?
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MHB -b.2.2.18 IVP DE complete the square?
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Graduate Partial Differential Equation Mathematical Modelling
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MHB 2.2.16 (a) intial value (b) interval
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MHB -2.2.12 dr/dθ = r^2/θ, r(1) = 2 IVP, graph, interval
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MHB -2.2.12 IVP y'=2x/(y+x^2y), y(0)=-2
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Graduate Differential Equation to Difference Equation
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Undergrad How do you know when to partially differentiate?
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MHB -02.2.11 initial value, graph, intervals xdx+ye^{-x}dy=0, \quad y(0)=1
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MHB √(5-6*x)*ln(4*√(x)-√(a))=√(5-6*x)*ln(2*x+a)
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Graduate How Can I Linearize \( f(t) = \sin(\Phi(t)) \) Using Laplace Transform?
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Graduate Solving the Laplace equation over a trapezoidal domain
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Undergrad Solving a nonlinear first order differential equation
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MHB Solutions of DE System & 2nd Order Differential Equation
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Undergrad How Do Boundary Conditions Change When a Beam Is Fixed at x=L Instead of x=0?
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Graduate Need help solving Darboux equation
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Graduate Rayleigh quotient Eigenvalues for a simple ODE
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Undergrad Equating coefficients of complex exponentials
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Undergrad Sketching simple coupled oscillators
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Undergrad Using Differential operators to solve Diff equations
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Undergrad How does the substitution x = 1/z transform Bessel's Equation?
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MHB Partial differential equations problem - finding the general solution
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Graduate Solution form for the following differential equation
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Undergrad Y'' + y = 0 solution and recursion relation
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MHB Can You Solve These Challenging ODE Exam Questions?
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Graduate Is There a Solution for a Particle Falling into a Gravitational Well?
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MHB Regular perturbation nonlinear problem
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Undergrad What exactly is linear dependency? 2nd and 3rd Order Diff EQ
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MHB Help: Differential equation Romeo & Juliet
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Undergrad Using a bifurcation diagrams and time dependent parameters
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Graduate Finite Difference Scheme - Plume Entrainment
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Graduate Existence of (sequential) feasible direction
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Undergrad How can you know if a numerical solution is correct?
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MHB -2.1.6 ty'- 2y =\sin{t}, t>0
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MHB Can Algebra Alone Rearrange This Differential Equation?
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Graduate Mathematical Biology- Neumann BCs, Turing Analysis
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MHB Existence and uniqueness of solution
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MHB Finding Equilibrium Solutions & Stability of $(1)$
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Graduate Inverted pendulum car - pedulum will not swing
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Undergrad Metric for knowing when numerical BC is "good"
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MHB Solving the Shock Wave Problem for $u_t + uu_x = 0$
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Graduate Taylor expansion for a nonlinear system and Picard Iterations
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