Differential Equations
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.)
Out[1]= | ![](Files/index-io-1-o.gif.en) |
Use /. to replace the constant:
Out[2]= | ![](Files/index-io-2-o.gif.en) |
Or add conditions for a specific solution:
Out[3]= | ![](Files/index-io-3-o.gif.en) |
To solve systems of differential equations, include all equations and conditions in a list:
(Note that the line breaks have no effect.)
Out[1]= | ![](Files/index-io-6-o.gif.en) |
Visualize the solution as a parametric plot:
Out[2]= | ![](Files/index-io-7-o.gif.en) |
QUICK REFERENCE: Differential Equations »