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.
High School Real world applications of differential equations
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MHB How Can You Transform and Solve This System of Equations?
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MHB Solve IVP: 3.4.5.5 | Eigenvectors Found
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Undergrad How is Euler's Identity proven using differential equations?
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Graduate Is a solution of a differential equation a function of its parameters?
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MHB Converting a Second-Order IVP into a System of Equations: Can Substitution Help?
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MHB -1.5.7.9 find gereral solution to DE
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MHB How Do You Solve the Initial Value Problem $y'+5y=0$ with $y(0)=2$?
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MHB -1.8.17 initial value then find C
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Undergrad 9-point Laplacian stencil derivation
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Graduate Implementing FDM Boundary Conditions at a Red Point
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Undergrad Solving BVP with Analytical Solution in (0,1)^2
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MHB Understanding O(h): Examining Functions with h as an Input
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Undergrad Why is this differential equation non-linear?
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Undergrad Solving Recursive Equations: Logistic Equation
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Graduate Solution of nonhomogeneous heat equation problem
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Graduate Example of Ritz method with Bessel functions for trial function
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Undergrad Solving and manipulating the damped oscillator differential equation
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Graduate Causality in differential equations
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Graduate Laplace eq. in cylindrical coordinates and boundary conditions
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Undergrad Understanding the change of variables for PDEs
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Undergrad An interesting Nonlinear Differential Equation
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Graduate How Do You Construct the Chain Rule for Green's Function in Half-Space?
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MHB Can you solve for y in sin(y) - y = x√(2)?
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Graduate What are the limitations of the Explicit Finite Difference Model?
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Undergrad What is the relation between stability criterion and time step?
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Undergrad Computing the Speed of Traveling Waves in 2 Dimensions
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Undergrad How to solve f'(t) = -t + t^3.f(t)
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Undergrad How does one solve Uxx+Uyy+Uzz=C when C is non-zero?
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Graduate Improper boundary in non-linear ODE (pseudospectral methods)
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Undergrad How Is the Solution to the Vibration Equation Derived?
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Undergrad Solving a system of differential equations by elimination
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Undergrad The diffusion equation with time-dependent boundary condition
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Graduate Non linear diff. eq. first order
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MHB Degree of Freedom: Maths Definition & Differential Equations
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Undergrad Problem with checking solution by wolframalpha
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Undergrad Heat Wave Equations: Explaining Delta t & x Approach to Zero
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MHB Does Increasing Mass Reduce the Amplitude of a Forced SDOF Oscillator?
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Undergrad Deep Learning the new key to nonlinear PDEs?
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Undergrad Is it possible to solve such a differential equation?
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MHB Second-Order Nonlinear Differential Equation
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Graduate How Do Auxiliary Equations Simplify Complex Mathematical Problems?
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Undergrad Troubleshooting Calculator Issues: Wolfram & Equation in Photo
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Undergrad Is it possible to solve for “t?”
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Undergrad Justification (or philosophy) of modal analysis
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Graduate Generic Solution of a Coupled System of 2nd Order PDEs
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MHB -2.4.2 interval of initial value problem
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Undergrad Using v substitution for first order homogenous DE and constraining solution
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Undergrad Sure way to convert variable integral to infinite integral?
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Undergrad Quasilinear Equation but with non-zero initial condition?
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MHB General Solution of Differential Equation System
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MHB -b.1.1.2 behavior of y'-2y=-3 as t goes to infinity
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Undergrad PDEs cracked by Artificial Intelligence at Cal Tech
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MHB Computation of the ratio of barometric pressure
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Undergrad Non-linear ODE: initial conditions
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Undergrad Help - Derivation of Pulsating Star Euler ODE
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Undergrad Integrating with the Dirac delta distribution
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MHB -b.2.2.1 separate variables y'=\dfrac{x^2}{y}
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Graduate Solution to an ODE (Leaky Integrate and Fire Neuron Model)
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Undergrad Why are the numbers switched around in this partial differential problem?
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MHB Steady State Question Understanding
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Graduate Going to higher degrees to obtain other solutions?
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Undergrad Chain Rule and acceleration as a function of two variables
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MHB Natural and forced response of a differential equation
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Undergrad Transforming Cartesian Coordinates in terms of Spherical Harmonics
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Undergrad Did von Neumann coin the eth or dyet for the inexact differential?
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Graduate Nonlinear Wave Equation (Nonlinear Helmholtz)
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Undergrad Derive local truncation error for the Improved Euler Method
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MHB How to Solve Laplace Transforms with a Fractional Term?
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Graduate How do I express an equation in Polar coordinates as a Cartesian one.
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Undergrad Assuming boundary conditions when integrating by parts
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MHB What is the maximum yield for a steady state solution?
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Undergrad ODE Solution Question: Comparing A1(r,ε) and A2(r) with ε=0
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MHB Dirac Delta and Fourier Series
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Undergrad Separation of Variables and Integrating over an Interval
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Undergrad Laplace transform linearity problem
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Undergrad Interpretations of phase space in Dynamical Systems Theory
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MHB What Are the Two Cases in Calculating Steady States?
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Graduate The mathematical definition of "wave"?
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Undergrad What is the nth derivative of this equation?
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MHB How Do You Solve Differential Equations with Variable Power Terms?
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Undergrad The Trapping Region of the Lorenz equations
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MHB Please give me an idea for Reduction of order
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Undergrad Fourier Integral of the Schrodinger Equation
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MHB Non-Dimensionalisation of Two Differential Equations: Working Out and Struggles
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Graduate Solving a differential equation with two unknowns
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High School Gradient of scalar field is zero everywhere given boundary conditions
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MHB Calculating Null Clines: Tips & Tricks
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MHB What Determines the Local Extrema in Dynamical Systems?
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MHB -b.2.2.32 First order homogeneous ODE
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Graduate Separation of variables possible in this problem?
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MHB What is the solution for t when $-0.1143e^{-\frac{2t^2}{3}}= -199$?
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MHB -b.2.2.26 IVP min value y'=2(1+x)(1+y^2); y(0)=0
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Graduate Inhomogeneous wave equation: RHS orthogonal to homogeneous solutions
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MHB Solving an Initial Value Problem Analytically
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High School Wave equation with a slight alteration
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Graduate Eigenvalue problem: locating complex eigenvalues via frequency scan
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Graduate Boundary conditions in the time evolution of Spectral Method in PDE
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Undergrad Know a simple, linear, complex, eigenvalue BVP?
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Graduate Equation satisfied by a rubber sheet
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