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 Initial Value Problem for a System of Linear Differential Equations
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Graduate Hyperbolic substitution in KdV equation resolution
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MHB How is the Integral Form of Momentum Conservation Derived in Fluid Dynamics?
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Graduate Orthogonality relations for Hankel functions
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Graduate Coupled differential equations for charged particles
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Graduate How Do You Solve L{u(t−2)e3t} Using the Second Shifting Theorem?
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Graduate Is the equation in this context really true?
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MHB What is a velocity field and its relationship to a fluid element's motion?
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MHB Verifying Transport Equation as a Dispersion Equation
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Graduate Laplace transform of anti causal systems
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MHB Discretising Elliptic PDE: How to Handle Derivatives and Summations?
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Graduate Stability condition for solving convection equation by FDM
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Graduate Trying to invert an expression
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MHB Solving the DE for $\phi$: Find $A,B,\phi$.
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MHB Can the Maximum Principle be Used to Estimate Solutions of Elliptic Equations?
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Graduate Find the function phi(r,t) given its partial derivatives.
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MHB Maximum principle-Uniqueness of solution
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Graduate Use of Laplace's equation in analytic function theory
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Graduate Physical meaning of KdV equation
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Undergrad Obtaining Differential and Cumulative Distribution Frequency
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MHB Max Principle: Showing $|u_1-u_2|\leq \max_{\partial{\Omega}}|g_1-g_2|$
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MHB Solving for Complex $x$ in $(x-x^2)(1-x+x^2)^2=\dfrac{1}{7}$
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MHB Where does the Fourier series converge?
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MHB How do we get the approximation?
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Graduate Solving an eigenvalue equation with boundary conditions
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Graduate Convolution theorem for Laplace Transform proof
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Graduate Solve 1st Order ODE from Transcendental Equation
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MHB A property of solution of ODE y''+p(x)y=0
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Graduate Solving Laplace's equation in spherical coordinates
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MHB Finding T with Newton's Cooling Law
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Graduate Jacobi elliptic functions with complex variables
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Graduate 2D Maxwell complex coordinate stretching PML
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Graduate Solving y=e^{t-t^2/2}: Luck or Methodology?
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MHB Integration of separate variables
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Graduate Solving PDEPE without boundary conditions? heat transfer
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MHB How to Solve $(x^2 + 1)y'' - 6xy' + 10y = 0$ Using Series Methods?
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MHB Use series methods to find the solution corresponding to....
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MHB Finding Eigenvalues, Eigenvectors, [3]
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MHB Solving System of ODEs: Matrix Form, Eigenvalues/Vectors
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Graduate What Are the Differences Between Frep1, Frep2, and Their Magnitudes?
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Graduate Imposing normalization in numerical solution of of ODE
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MHB What are the limits of integrals in the energy method for wave equations?
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MHB What is the solution for the given problem using the method of characteristics?
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Graduate Physical meaning of KdV equation
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MHB Solve Eigenvalues, Eigenvectors & General Solution for X'=AX
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Graduate Derive gen sol of non-homogeneous DEs through linear algebra
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Graduate How to solve highly oscillating differential equation
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MHB Matrices, Eigenvalues and such...
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Graduate Is there an analytic solution to this system of equations?
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MHB Solving an IVP with Green's Theorem: Wondering?
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Graduate Derivation of the equations of APF
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Graduate Solving a system of recursive functions
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Graduate Optimal Control of Linear-Affine System w/ Constraints
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MHB Solving optimum Bézier approximation of a circle
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Undergrad Prove cos^2(x)+sin^2(x)=1 using IVP's
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MHB Confirm equation for Numerov method
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Graduate Finding Solutions for Coupled ODEs with Constant Parameters
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Undergrad Trivial solution for cosh(x)=0 and sinh(x)=0
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Graduate Is the Solution sin(t)H(t) for SHO a Particular Solution?
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Graduate This is regarding difference equations and their solutions
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Graduate Understanding coupled Runga Kutta derivation
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MHB Reversing recurrence relationships
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Graduate Variational solutions to non-linear ODE
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Graduate How to Solve a Shooting Method Problem with Specific Boundary Conditions?
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Undergrad How Can I Understand Rotor and Partial Derivatives in Multivariable Functions?
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Undergrad Harmonic oscillator shifted origin
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MHB Find the general solution of the problem
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MHB Yes, that is the correct answer. Good job!
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MHB Finding the general solution of the given D.E.
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MHB How can I solve this LaPlace Transform using Laplace Transforms?
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Graduate Solve Curveball Modeling Using Runge-Kutta4
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MHB Finding Eigenvalues for the Heat Equation: A Step-by-Step Approach
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MHB Did I Apply Laplace Transforms Correctly?
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MHB Write the piecewise function in terms of unit step functions.
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MHB Use Variation of Parameters to find a particular solution
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MHB Verify My IVP Help Appreciated!
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Graduate General Solution of a Poisson Equation (maybe difficult)
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MHB How Do You Solve a Simple Pendulum's Equation of Motion?
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MHB Is My Work Correct for These Particular Solutions?
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MHB Using the Method of Undetermined Coefficients to find a particular solution
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MHB Exponential and Logarithmic Functions
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Graduate Poisson PDE in polar coordinates with FDM
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Undergrad How to Effectively Solve for the Particular Solution in Differential Equations?
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Graduate How to deal with this equation involving a plus/minus term
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Graduate Can the Laplace Inverse be Applied to Divided Transfer Functions?
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Graduate How can I solve two related non-linear equations using EDP finite volume method?
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Graduate Why Should T(t) Go to Zero as t → ∞ in Heat Diffusion Problems?
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Undergrad Solving Power Series Problems: Finding 2 Solutions
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Graduate Using the D operator without true understanding.
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Graduate Finding Solutions to Differential Equations with Constant Coefficients
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Graduate Find the best T(t) from a differential eq. and conditions
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Graduate Finite difference method nonlinear PDE
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Graduate Are there closed curve solutions for these ODE constraints?
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Undergrad Simple Laplace transform question
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Graduate Assuming separability when solving for a Green's Function
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Undergrad Finding the undamped natural frequency of 2nd order system
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MHB What Does the Wave Function Reveal About k and ω?
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MHB Why can we only change the wavenumber?
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Graduate How do I numerically solve a non-linear ODE in Mathematica?
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MHB Differential equation - Green's Theorem
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