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.
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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Undergrad How do I derive a PDE for the volume flow rate of a tilting vessel?
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Graduate Deriving the derivative boundary conditions from natural formulation
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MHB Differential equation - distance needed to achieve target speed
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Undergrad Does this ODE have any real solutions?
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Undergrad Find Practical Resonance Frequencies in Linear Differential Equations
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Undergrad Separation of Variables for Partial Differential Equations
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MHB -a.3.2.96 Convert a 2nd order homogeneous ODE into a system of first order ODEs
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MHB -5.5 Solve the matrix equation AX=B to find x and y
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Undergrad Independent functions as solutions
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MHB -29.1 Find a general solution to the system of DE
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MHB -m30 - 2nd order linear homogeneous ODE solve using Wronskian
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Undergrad Solving a differential equation using Laplace transform
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Undergrad Homogeneous equation and orthogonality
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MHB 3.1.11 find the solution of the given initial value problem:
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MHB Can You Solve This Initial Value Problem and Determine Its Solution Interval?
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Graduate Solving the Convection-Diffusion Equation for this Pipe with a Heat Sink
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MHB Solve IVP 2000 #23: Y(0)=A Solution
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Graduate Preventing Oscillations w/ Coarse Calculation Increments?
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MHB 31.6 Solve the initial value problem
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Undergrad Green's function for the wave equation
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Undergrad Projective Methods For Stiff Differential Equations
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Undergrad What is the proper format for solving this ODE using an Excel add-in calculator?
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Undergrad Using D'Alembert Solution to Find Values of Regions
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Undergrad Separation of Variables (PDE) for the Laplace Equation
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Undergrad How bad is my maths? (numerical ODE method)
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Undergrad Verification regarding Neumann conditions at time derivative
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Graduate FDM vs FEM: Which is Better for CFD?
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Graduate Understanding the Spectrum of a Linear Operator
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Graduate Understanding the Colon Notation:
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Graduate Bessel's Integrals with Cosine or Sine?
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Undergrad Problem getting the coefficients of a non-homogeneous PDE using the Fourier method
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Graduate General natural boundary condition?
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MHB -pe.7 write a system in the matrix form Y'=AY+G
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Undergrad How do I classify this partial differential equation? Inhomogeneous?
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Graduate Consistency Versus Convergence, seeking intuition
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Graduate Implicit Euler method with adaptive time step and step doubling
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Undergrad What is a symmetric ODE / what does it mean when an ODE is symmetric?
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Simple Symplectic Reduction Example
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MHB How to Solve the Differential Equation x'=x+sin(t)?
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Graduate Deriving the FEA formulation using triangular elements
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Undergrad What method should I use to get the roots of this equation?
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Graduate Matrix Exponential to Approximate the Value of Matrizant
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MHB 29.1 give a system of fundamental solutions
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Graduate How to get a converging solution for a second order PDE?
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MHB How to find the eigenvectors for a given matrix using the example in a textbook?
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Graduate Irreversible processes. Heat equation, diffusion equation
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Graduate Non-homogenous convection equation
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Graduate Lecture notes on Finite Difference Methods
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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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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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