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.) In [1]:=. ⨯. sol = DSolveValue [y' [x] + y [x] == x, y [x], x] Out [1]=. Use /. to replace the constant:

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DSolveValue takes a differential equation and returns the general solution: (C[1] stands for a constant of integration.) In [1]:=. ⨯. sol = DSolveValue [y' [x] + y [x] == x, y [x], x] Out [1]=. Use /. to replace the constant: Wolfram|Alpha is capable of solving a wide variety of systems of equations.

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It can handle a wide range of ordinary differential equations (ODEs) as well as some partial differential equations (PDEs). In a system of ordinary differential equations there can be any number of unknown functions u_i, but all of these functions must depend on a single "independent variable" t, which Wolfram Data Framework Semantic framework for real-world data. Wolfram Universal Deployment System Instant deployment across cloud, desktop, mobile, and more.

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This Demonstration lets you change two parameters in five typical differential equations. Observe the changes in the direction field and long-term behavior of the system. Notice the changes in both the lines of equilibrium and the direction of … Find, customize, share, and embed free differential equations Wolfram|Alpha Widgets. In calculating a system of differential equations, I used 3 different methods: EigenSystem, DSolve and MatrixExp.
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values and the generalized eigenvectors in the columns of the matrix F. 4x4 system of equations solver. , a matrix equation) that are sometimes also known as 

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