First-Order Ordinary Differential Equation

Author

Eric W. Weisstein
May 3, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/DifferentialEquations/First-OrderOrdinaryDifferentialEquation.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/First-OrderOrdinaryDifferentialEquation.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Example

eqn=Expand[(D-1)(D-2)^3(D^2+D+1)]

eqn2=Plus@@MapIndexed[#1 Derivative[Sequence@@#2-1][y][x]&,CoefficientList[eqn,D]]

Expand[DSolve[eqn2==0,y[x],x]]