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 -2.2.4 find general solution xy'+2y=e^x
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MHB -2.2.3 de y'+(\tan x)y=\sin {2x}; -\pi < x < \pi/2
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MHB -b.2.2.1 de with u subst y' + (1/x)y=\sin x; x>0,
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MHB Finding the Solution to a Differential Equation with Reciprocal Relationship
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I SHM: Do We Need to Assume Sign of k?
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MHB Initial and boundary value problem
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A Asymptotic solutions to a differential equation
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I What is the solution to the heat equation with a constant added?
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MHB Solve IVP: What is the solution to the given initial value problem?
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MHB 2.1.7 Find the solution of the given initial value problem.
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MHB -2.1.1 solve y'+3y = x + e^{-2x}
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MHB Boundary value problem for Laplace equation
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MHB Did You Solve the Differential Equation Correctly?
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MHB Solve 2.1.5 DE w/ $y(0)=1$ & Find $\mu(x)$
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MHB How do you rewrite the given equation as a function of u(x)?
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MHB Solve DE for y: $\displaystyle y^\prime +y = xe^{-x}+1$
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MHB How can we solve the differential equation $y^\prime - 2y = x^2 e^{-2x}$?
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MHB How do we show that it is finite?
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I Using complex numbers or phasor transform to solve O.D.E's
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A Spectral Theorem to Convert PDE into ODE
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MHB Limit of Integral: Let u, A(x) be Functions
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MHB Change variable to solve equation
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MHB Why is the solution single-valued ?
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MHB Solving the ODE $u_t+u^2 u_x=0$ with Initial Condition $u(x,0)=2+x$
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MHB Verify that the formula provides a solution of the pde
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MHB How to Solve a Non-Homogeneous Equation and Draw Its Characteristic Curves?
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MHB Can we Use Partial Derivatives to Verify the Solution of PDE with Derivatives?
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I Second order ordinary differential equation to a system of first order
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I Can all differential equations be turned into algebraic equations via the FT?
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MHB Compact Support of Wave Equation IVP Solutions
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A Inverse ODE, Green's Functions, and series solution
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A Converting a Vector Differential Equation in Fluid Mechanics
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MHB Determining Solution Space for Cauchy Problem ($u_t+xu_x=(x+t)u$)
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MHB Mixing with Common Drain: Mass of Salt in Two Tanks #46 Nagle
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A Phase Change Problems: A Student in Coventry Explores Solutions
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MHB Manipulating Differential Equations with the Chain Rule
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A Efficient Computation of k2 in RK4 for Numerical RHS | PF Discussion
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MHB Finding k values for non-zero solutions in integral equations?
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I How Can We Predict Particular Solutions for Linear Differential Equations?
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I What is term for DEQ that only has terms of a derivative?
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Confusion about series solutions to differential equations
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B What's the difference between 1000e^0.05t and 1000*1.05^t?
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I Understanding the Eigenvalue Concept in Diffusion Equations
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A Pontryagin minimum principle with control constraints
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A Runge Kutta finite difference of differential equations
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B How to calculate travel time as a function of distance
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I Cauchy-Euler Diff. Eqn: Transformation & Solution
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MHB Is $x$ an Increasing Function of $t$?
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A Stability for a system of nonlinear ODEs
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MHB Analysing Salt Buildup in Water Reservoirs
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I Solve Laplace's Equation with Laplace Transform
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MHB Local Error: Euler/Crank-Nicholson
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MHB -Eigenvectors and Eigenvalues (311.5.5.15)
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A Solving an ODE Eigenvalue Problem via the Ritz method
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I PDE in ℝx(0,∞): Solving the Unknown
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MHB How Does the Wronskian Relate to Airy Functions Ai(x) and Bi(x)?
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I What Are the Methods for Solving Laplace's Equation in 3D Coordinates?
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MHB I.7 verify that the given function is a solution
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A Legendre's ODE: Fundamental Solution for L = 2, 3, 4...
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MHB General solution y''+2y'+y=x(e^-x)+1
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MHB Why Are Differential Equations So Confusing?
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MHB Example of systems of the differential linear equations
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I Minimizing a non-linear ODE in f, f_t
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I A common 2nd order ODE from dynamics but....
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MHB Changing height in tank depending on time
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MHB Non-homogeneous differential equation, undetermined coefficients
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I How to find a solution to this linear ODE?
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I Trying to obtain a 2nd order ODE
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A Applying boundary conditions on an almost spherical body
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A Solve a non-linear ODE of third order
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B Calculate the expression of the antiderivative
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MHB Modeling the flow from a gate at the bottom of the reservior
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I Neural Networks vs Traditional Numerical Methods
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A Numerical solution techniques for 6th order PDE's
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I What is the propagation speed of a diffusion
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MHB Peak in single ODE within a system
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A Heat equation on infinite domain
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A Why Does the Wave Equation Solution Differ from Expected Traveling Waves?
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I Boundary Conditions for System of PDEs
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A Solving linear 2nd order IVP non-constant coefficient
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I Complex Fourier Series: Even/Odd Half Range Expansion
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A Newmark-Beta vs Predictor Corrector
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A How Does Green's Function Solve Nonlinear Boundary Value Problems?
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I Classification of First Order Linear Partial Differential Eq
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I Method for solving gradient of a vector
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I Using Fourier Transform to Solve ODE with Initial Conditions
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I How to find the transfer function of xy, xy' etc?
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A Can Newton's method work with an approximated integral
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B Wave equation, psi with dots and things like that....
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I Using Complex Numbers to find the solutions (simple Q.)
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Nonhomogeneous ODE with Dirac delta
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A How to calculate confluent Heun functions numerically?
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A Difficult partial differential Problem
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MHB Differential equation w/ cos and sin
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I Solving for constants in a differential equation
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A What resources can help me solve the Spheroidal Wave Equation?
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I Intuition behind Cauchy–Riemann equations
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MHB Discrete dynamical systems - Invertible maps
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A Matched Asymptotic Expansion and stretching variables
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A Laplace Equation for an annular geometry with different BC
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