Solve the following differential equations: a) xy' = (x 1)y b) y' = y(x + 1),...

 

Transcribed Image Text:

Solve the following differential equations: a) x²y' = (x 1)y b) y' = y²(x + 1), y(0) = 2 (this is an initial value problem) c) ey' + 2e³y = 1 3 d) xy' + 2y = x³, x > 0, y(2) = 1 (this is an initial value problem) Solve the following differential equations: a) x²y' = (x 1)y b) y' = y²(x + 1), y(0) = 2 (this is an initial value problem) c) ey' + 2e³y = 1 3 d) xy' + 2y = x³, x > 0, y(2) = 1 (this is an initial value problem)