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.
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.
MATHEMATICA TUTORIAL, Part 1.2: Solving First Order ODEs
2024年12月16日 · The Wolfram Language function NDSolve, on the other hand, is a general numerical differential equation solver (it is discussed in more details in Part III). DSolve can handle the following types of equations: Ordinary Differential Equations (ODEs), in which there are two or more independent variables and one dependent variable.
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.
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: Or add conditions for a specific solution:
MATHEMATICA TUTORIAL, Part 2.4: Numerical solutions using NDSolve
The Wolfram Language function NDSolve is a general numerical differential equation solver. It can handle a wide range of ordinary differential equations (ODEs) as well as some partial differential equations (PDEs) and some differential-algebraic equations (DAEs).
Step-by-step differential equation solver - Wolfram|Alpha
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.
Introduction to Differential Equation Solving with DSolve
The Wolfram Language function DSolve finds symbolic solutions to differential equations. (The Wolfram Language function NDSolve, on the other hand, is a general numerical differential equation solver.) DSolve can handle the following types of equations:
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