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

The Correct Option is B

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