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.
Graduate Differential equation and Appell polynomials
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Undergrad Solution of delayed forcing function
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Undergrad Infinite product representation of Bessel's function of the 2nd kind
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Graduate Raising and lowering operators
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Insights How Did Lie Groups Become Central to Physics?
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Undergrad ODE with non-exact solution: closed-form, non-iterative approximations
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High School Luis A. Caffarelli, 2023 Abel Prize
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Undergrad Fundamental matrix of a second order 2x2 system of ODEs
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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 Best fit to an oscillating function
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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 Solving an equation with a parameter and a derivative
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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 Properties of the Fourier transform
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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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Undergrad How to characterise solutions to an unsolved equation
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Graduate Clarification on the given PDE problem
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Undergrad Time evolution of the electromagnetic wavefunction on a lattice
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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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High School Constrained Optimization with the KKT Approach
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MHB How to Solve the Lotka-Volterra System of Differential Equations?
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Undergrad What are the applications of inverses of vector functions?
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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 Is there a name for this sort of differential equation?
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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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MHB Collin's question via email about solving a DE using Laplace Transforms
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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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MHB Minimum time required to cover distance, beginning and ending at rest
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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 Equivalent Damping Constant for Massless Bar
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MHB Viscously damped system
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MHB How Do I Interpret This Proposition on Differential Equations and Invertibility?
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MHB Collin's question via email about a Laplace Transform
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MHB Collin's questions via email about Inverse Laplace Transforms
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MHB Mahesh's question via email about Laplace Transforms (2)
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MHB Jun's question via email about Laplace Transform
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MHB Alexander's question via email about Laplace Transforms
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MHB Dharshan's question via email about a Laplace Transform
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MHB Mahesh's question via email about Laplace Transforms (1)
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MHB Seth's question via email about a Laplace Transform
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MHB Effie's question via email about Implicit Differentiation
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MHB Edin's question via email about implicit differentiation
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MHB Inexact Differential Equation with 4 Degree
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MHB Erin's question via email about a Fourier Transform
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MHB Kamal's Questions via email about Implicit Differentiation
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Fortran programming to solve ODEs
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MHB Sturm-Liouville Problem Cheat Sheet
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MHB Why is there a Mass Term in the Denominator of the Spacecraft's Motion Equation?
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MHB What are Bessel Functions and how can they help solve differential equations?
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MHB Aidan's question via email about Fourier Transforms (2)
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MHB How Long for 61Co to Reduce to 80% of Its Initial Value?
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MHB Throwing a Ball Up: Motion & Time to Max Height
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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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