Which of the following equation has \(y=x\) as one of its particular solution?1\(\frac{d^2 y}{dx^2}-x^2\frac{dy}{dx}+xy=x\)2\(\frac{d^2 y}{dx^2}+x\frac{dy}{dx}+xy=x\)3\(\frac{d^2 y}{dx^2}-x^2\frac{dy}{dx}+xy=0\)4\(\frac{d^2 y}{dx^2}+x\frac{dy}{dx}+xy=0\)Answer & explanation+Correct answer: option 3Substitute and verify