DSolve

DSolve[eqn, u, x] solves a differential equation for the function u with independent variable x.

Examples

Solve a first-order ODE:

DSolve[y'[x] == y[x], y, x]
(* {{y -> Function[{x}, E^x C[1]]}} *)

Solve with initial condition:

DSolve[{y'[x] == y[x], y[0] == 1}, y, x]
(* {{y -> Function[{x}, E^x]}} *)

Please visit the official Wolfram Language Reference for more details.