Question

The general solution of differential equation $\frac{dy}{dx} - xy = e^{\frac{x^2}{2}}$

• A. $y = Ce^{\frac{x^2}{2}}$, Where C is a constant.
• B. $y = (x+c) e^{\frac{x^2}{2}}$, Where C is a constant.
• C. $y = (c-x) e^{\frac{-x^2}{2}}$, Where C is a constant.
• D. $y = Ce^{\frac{-x^2}{2}}$, Where C is a constant.

Answer 1

Answer: (B)

$y = (x+c) e^{\frac{x^2}{2}}$, Where C is a constant.

Answer 2

The correct option is (B): $y = (x+c) e^{\frac{x^2}{2}}$, Where C is a constant.