MathCastle
Differential EquationsMediumFirst-Order Equations

First-Order Equations · Medium problem

Solve y′−yx=xcos⁡xy'-\dfrac{y}{x}=x\cos x on x>0x>0 with y(π)=πy(\pi)=\pi, and find y ⁣(π2)y\!\left(\dfrac{\pi}{2}\right).