Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:
If \(y=e^{-x}(A \cos x+B \sin x)\), then \(y\) is a solution of
Options:
\(\frac{d^2 y}{dx^2}+2\frac{dy}{dx}=0\)
\(\frac{d^2 y}{dx^2}-2\frac{dy}{dx}+2y=0\)
\(\frac{d^2 y}{dx^2}+2\frac{dy}{dx}+2y=0\)
\(\frac{d^2 y}{dx^2}+2y=0\)
Correct Answer:
\(\frac{d^2 y}{dx^2}+2\frac{dy}{dx}+2y=0\)
Explanation:
\(y\) satisfies equation given in (c).