Find the solution to the differential equation as same way as example question

CoursHeroTranscribedText: 1. Find the solution to the differential equation y'tty = ex-2 Solve this Problem 1. Find the solution to the differential equation y' + 2y = 2r. ( example We use integrating factor as the differential equation is of the form: y' ( x ) + p(x ) . y(x ) = g(x ) where P (X ) = 2 , 9 ( X ) = 2x Acx) = e Jp(x) dx = e 2 e 2x y' + e 2 x 2 4 2 x 2 X ( y . e 2 x )' = 2e P 2 x X 4. ezx 2 S ezx . x dx Sezx . x dx U = X V = ze2x = z x e2x - zsexx dx du = dx dv= e zx dx =zxe -t. ze2x + c y . e 2 x xe z x _ ze 2x + C Y = X- Et c. e - 2x