NDSolve

NDSolve[eqns, u, {x, xmin, xmax}] finds a numerical solution to the ordinary differential equations eqns for the function u with independent variable x in the specified range.

Examples

Solve a simple ODE numerically:

sol = NDSolve[{y'[x] == y[x], y[0] == 1}, y, {x, 0, 5}]

Plot the solution:

Plot[Evaluate[y[x] /. sol], {x, 0, 5}]

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