Question

Solution of dy/dx + 2xy = y is

(A) y = Ce^{x - x^2}

(B) y = Ce^{x^2} - x

(C) y = ce^x

(D) y = ce^{-x^2}

Answer 1

Answer is (A) y = Ce^{x - x^2}

Given is the linear equation

dy/dx + (2x - 1)y = 0

Therefore, the solution of differential equation is

ye^{x^2 - x} = c

⇒ y = ce^{x - x^2}