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.
Solving Coupled First Order ODEs: Is There a Closed Form Solution?
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MHB Projectiles Problem: Time to Hit Ground from 45m
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MHB Oil Spill - Differential Equations
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MHB How to prove that the Euler-Bernoulli equation is hyperbolic
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MHB Partially Decoupled System with 3 variables
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Graduate Wave direction and speed of propagation
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MHB Solve DE: Reviewing Problems Before Classes Start
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Graduate Why don't we multiply generalized functions?
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Undergrad Solving 2D Heat Equation w/ FEM & Galerkin Method
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MHB B.2.2.2 solve DE ....separate variables
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Graduate How can I interpret the 2D advection equation?
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Undergrad Label propagation equation: what are the terms?
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Undergrad FEM 2D Node Equations: Setting Up & Examples
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Insights The Amazing Relationship Between Integration And Euler’s Number
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Graduate Can a Scalar Equation Be Transformed into Lagrangian Form?
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Undergrad Looking for what this type of PDE is generally called
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Graduate Finite difference scheme for y'(t)=a*y(t)
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Graduate Crank-Nicholson method for spherical diffusion
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Graduate Can the Cauchy-Kovalewskaya Theorem Predict Solution Existence in All Cases?
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MHB Application of Linear differential equation in solving problems
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Graduate Green's function for Stokes equation
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Graduate Green's function for Sturm-Louiville ODE
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Graduate Residual of PDEs as convergence criteria of numerical solution
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Graduate How Large is the Residual Error in FEA Solutions of PDEs?
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Undergrad Crank Nicolson method to solve a PDE
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Undergrad FEM Method for the Wave Equation
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Undergrad Limit cycles, differential equations and Bendixson's criterion
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Undergrad Inverting an Equation Containing Elliptic Integrals
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Graduate Help with understanding why limit implies uniqueness
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Undergrad Separation of Variables, but not equal to constant
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Undergrad Laplace transform of a simple equation (Simple question)
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Dynamic Systems: Poincaré-Bendixson Theorem finite # of equilibria
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Undergrad Integral-form change of variable in differential equation
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Graduate Solving Laplace's equation in polar coordinates for specific boundary conditions
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Graduate Why do the Navier-Stokes equations give us non-existent results for 3D flow?
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Graduate Laplace transform of derivatives
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Graduate Existence of unique solutions to a first order ODE on this interval
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Undergrad Problem with integrating the differential equation more than once
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Undergrad Non-Homogeneous Robin Boundary conditions and Interpretations of Signs
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Graduate Solving nonlinear singular differential equations
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When do we need to consider the homogeneous solution?
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Undergrad Can FDM solve any type of PDE same as FEM?
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Undergrad Convergence of this Laplace transformation
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MHB First order differential equations
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Undergrad Find the center manifold of a 2D system with double zero eigenvalues
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Graduate Dissipative and dispersive derivatives
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Graduate Can the Solution of a Heat Equation Only Get Smoother as Time Increases?
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Undergrad Why Is a Differential Equation Called Nonlinear?
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Undergrad An equation invariant under change of variable
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MHB How Do You Write a PDE in Terms of x and y?
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Undergrad PDEs greater than order 2 with real world applications?
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MHB -b.1.3.17 y''+y'-6y=0 Find values of r of the form y = e^{rt}
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MHB -b.1.1.4 directional field as t \to \infny
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Graduate How to solve simple 2D space-time PDE numerically
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Undergrad How to determine if x(t) is a solution to a system x'(t)=f(x)
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MHB Why Choose This Function for Solving PDEs?
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Undergrad Why can the i be dropped when defining the new constant B?
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MHB -b.1.3.12 .... is a solution of the DE
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MHB -b.2.7.2 Euler's method y'=3+y-y y(0) =1
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Undergrad Understanding relationship between heat equation & Green's function
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MHB How to Solve Differential Equation with Separate Variables?
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MHB What is the maximum distance of P from point O during the motion?
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Undergrad Finite difference scheme for u'=u^2, u0=1, 0<t<2
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MHB -t1.13 IVP \frac{ds}{dt}&=12t(3t^2-1)^3 ,s(1)=3\
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MHB B.2.2.16 IVP of \dfrac{x(x^2+1)}{4y^3}, y(0)=-\dfrac{1}{\sqrt{2}}
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MHB Solve Differential Eq: xe^-1/(k+e^-1) for x, k, t
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MHB -2.1.1 DE Find the general solution
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Undergrad General solution of heat equation?
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MHB What is the integrating factor for solving this IVP?
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MHB Is the given function a solution of the differential equation?
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Undergrad Solve second order linear differential equation
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MHB 2.1.2 Find the general solution of y'−2y=t^{2}e^{2t}
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Undergrad Conservation of finite difference for vibration equations
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MHB -2.2.35 Show that dy/dx=(x+3y)/(x-y) is homogeneous. and....
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High School Difference between a continuously differentiable function and a wave
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Undergrad What is the Definition of the Delta Function?
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MHB When Will the Object Be 15 Meters Above the Ground?
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High School Basic Idea of Differential Equations
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Graduate Local truncation error from Taylor/Variable timestep
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Graduate Backward Euler technique vs. periodic function: Damping out?
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MHB Solving an ODE: Seeking c so y'(0)=0
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MHB Momentum Change in Hockey Ball: Mass 0.2kg, Speed 8m/s to 5m/s
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Graduate Starting BDF iterations - suggestions?
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MHB Mechanics- General motion in a straight line.
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MHB Inverse laplace transform pf infinite product
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Undergrad Understanding the Laplace Transform of cos(t)/t
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Undergrad Fredholm's alternative & L2 convergence
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Undergrad How do I solve this first order second degree differential equation?
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Undergrad Rodrigues' Formula for Laguerre equation
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MHB B.2.1.4 trig w/ integrating factor
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MHB Solving $\dfrac{dy}{dt}=y-5$, $y(0)=y_0$
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Undergrad Series Solution for 2nd-Order Homogeneous ODE
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Undergrad How to solve this second order differential equation
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MHB B.1.2.3 Find the equilibrium solution and....
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MHB Solving IVP $y''-y=0$ with $y_1,y_2$
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MHB What are the values of r for this differential equation?
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Graduate Phase Portraits of a system of differential equations
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MHB Can You Solve This System of Differential Equations with Initial Values?
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Undergrad How did the author transform the original equation into the Legendre equation?
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High School Real world applications of differential equations
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