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 Derivation for the indicial exponent in the Frobenius method
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Differentiation of unitary operator U(t,t') in Peskin and Schroeder
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Undergrad Solving 3D TDSE with Runge-Kutta Method
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Graduate Seeking advice about solving an ODE
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Undergrad What kind of differential does the small Greek delta letter represent?
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Graduate How to separate variables in this PDE?
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Undergrad Understanding Euler Method: Finding Initial Condition of y(0)=1
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Undergrad Laplace Transform of Sign() or sgn() functions
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Undergrad PDE - Heat Equation - Cylindrical Coordinates.
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Undergrad Helmholtz Equation in Cartesian Coordinates
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Graduate Solving an Equation: Overcoming the r's
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Undergrad Finding the weak form of an eq. with DG elements (finite elements)
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Graduate Clarification on the given PDE problem
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Graduate The boundary conditions in reference to Laplace's equation
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Graduate Applying the Laplace transform to solve Differential equations
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Undergrad Explanation of all "its linearly independent derivatives"
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High School Differentiating Euler formula vs. multiplying by i
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Graduate Solve the Partial differential equation ##U_{xy}=0##
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Graduate Rectangular higher order edge element (finite element method)
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Graduate Determining whether the Dirichlet problem is nonhomogenous
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Undergrad Need Help with this Step in a DE solution
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MHB How to Solve the Lotka-Volterra System of Differential Equations?
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Undergrad Discontinuous systems? And why do we need uniqueness anyway?
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Undergrad Where did this substitution technique go wrong?
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Undergrad Expressing a differential equation into a different format
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Undergrad Can we solve a non-autonomous diffeq via Taylor series?
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Undergrad What are the applications of function-valued matrices?
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Graduate How to solve Diffusion Equation with time dependant conditions?
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Undergrad Second order non-homogeneous linear ordinary differential equation
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Graduate Polar Fourier transform of derivatives
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Undergrad Finding Max and Min Extremes of a Function with Second Derivatives Equal to Zero
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Graduate Spectral solution of the two dimensional Rossler chaotic system
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Undergrad Can I Differentiate Both Sides to Solve y in y^2=ln(1-y^2)?
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Undergrad Understanding Removable discontinuity of the given function: ##e^x##
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Graduate Solve the heat equation having Dirichlet boundary conditions
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Undergrad Second Order ODE with Exponential Coefficients
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Undergrad Analysis of converting a DE into complex DE
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Graduate Solve the homogenous Neumann problem
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Graduate Bessel functions of imaginary order
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Undergrad Hypergeometric Limits: Analyzing p(x)
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Graduate When should you use more mesh elements in the finite element method?
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Undergrad General solution of 1D vs 3D wave equations
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Undergrad Real ODE yields real solution through complex numbers
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Undergrad Quick Change of Variables Question
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Undergrad Drawing Direction Fields for Higher Order ODEs
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MHB How Do I Interpret This Proposition on Differential Equations and Invertibility?
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MHB Inexact Differential Equation with 4 Degree
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MHB Sturm-Liouville Problem Cheat Sheet
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MHB What are Bessel Functions and how can they help solve differential equations?
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Graduate Recurrence relations for series solution of differential equation
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Undergrad FEM Method in 2D with Triangular Elements
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Undergrad How to make the deflection equation at any point along a snow ski profile?
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MHB Matrix Methods for Difference Problems II
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MHB Matrix Methods for Difference Problems
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MHB Solving a Separable Variable Differential Equation Using U-Substitution
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Undergrad Differential Equations For Solving A Recursive equation
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Undergrad Modified Bessel Equation
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Finding the damping ratio (zeta) of an nth order system from a transfer function
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MHB Neuronal Dynamics Passive membrane equation
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MHB Help with a question (Bernoulli General solution)
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Undergrad Converting Second Order ODE to Hypergeometric Function
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Derivation of Momentum Equation (Eulers Equation)
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Graduate FEM basis polynomial order and the differential equation order
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Solving Coupled First Order ODEs: Is There a Closed Form Solution?
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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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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 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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