MathCastle
Differential EquationsChallengeLaplace Transforms

Laplace Transforms · Challenge problem

An undamped spring is driven at its natural frequency: y′′+4y=sin⁡2ty'' + 4y = \sin 2t, y(0)=0y(0) = 0, y′(0)=0y'(0) = 0. Use the Laplace transform to find y(π)y(\pi).