How to | Solve a Differential Equation - Wolfram
The Wolfram Language's differential equation solving functions can be applied to many different classes of differential equations, automatically selecting the appropriate algorithms without needing preprocessing by the user. Use DSolve to solve the differential equation for with independent variable :
DSolve: Solve a Differential Equation—Wolfram Documentation
DSolve can solve ordinary differential equations (ODEs), partial differential equations (PDEs), differential algebraic equations (DAEs), delay differential equations (DDEs), integral equations, integro-differential equations, and hybrid differential equations.
NDSolve: Numerically solve a differential equation—Wolfram …
NDSolve [eqns, u, {x, xmin, xmax}] finds a numerical solution to the ordinary differential equations eqns for the function u with the independent variable x in the range xmin to xmax. NDSolve [eqns, u, {x, xmin, xmax}, {y, ymin, ymax}] solves the partial differential equations eqns over a rectangular region.
Step-by-step differential equation solver - Wolfram|Alpha
This widget produces a step-by-step solution for a given differential equation. Get the free "Step-by-step differential equation solver" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.
Solving Differential Equations with Mathematica's Solver
We're here to learn about Mathematica's differential equation solver. So what about this DSolve command? Before we can use the DSolve command the differential equation must be put in derivative form, whereas in the original differential equation it's in differential form.
You can use NDSolve to solve systems of coupled differential equations as long as each variable has the appropriate number of conditions. This finds a numerical solution to a pair of coupled equations.
Solving Differential Equations with Mathematica's Solver
"DSolve[eqn,u,x]" tells us how to solve a single differential equation, whereas "DSolve[{eqn 1,eqn 2,…},{u 1,u 1,…},…]" is the command we'd use to solve a system of differential equations. We haven't even done systems in class yet, so we'll stick to single equations for a while.
Introduction to Differential Equation Solving with DSolve The Mathematica function DSolve finds symbolic solutions to differential equations. (The Mathe-matica function NDSolve, on the other hand, is a general numerical differential equation solver.) DSolve can handle the following types of …
Solving differential equation - Mathematica Stack Exchange
Dec 18, 2022 · I have a problem with solving the following differential equation: (xau′(x))′ = 0 (x a u ′ (x)) ′ = 0, where x and a are in (0, 1) (0, 1) and [0, 1) [0, 1), respectively.The derivative given in equation is with respect to x x. I used Mathematica and got the following solution: C2 + (C1/1 − a) ∗x(1 − a) C 2 + (C 1 / 1 − a) ∗ x (1 − a).
Differential Equations | Mathematica & Wolfram Language for …
The Wolfram Language can find solutions to ordinary, partial and delay differential equations (ODEs, PDEs and DDEs). DSolveValue takes a differential equation and returns the general solution: (C[1] stands for a constant of integration.) Use /. to replace the constant: sol /. C [1] -> 1. Or add conditions for a specific solution:
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