Solve the IVP y' + y = (e^t) cos(t) + (e^t) sin(t) with y(0)=1 by A) method of undetermined coefficients B) method of variation of parameters

Question.

Solve the IVP y' + y = (e^t) cos(t) + (e^t) sin(t) with y(0)=1 by

A) method of undetermined coefficients

B) method of variation of parameters

Solution: