Question

In which of the following differential equations is the degree equal to its order?

(a) \(x^3(\frac{dy}{dx})-\frac{d^3y}{dx^3}=0\)

(b) \((\frac{d^3y}{dx^3})^3+sin (\frac{dy}{dx})=0\)

(c) \(x^2(\frac{dy}{dx})^4+sin\,y-(\frac{d^2y}{dx^2})^2=0\)

(d) \((\frac{dy}{dx})^3+x(\frac{d^2y}{dx^2})-y^3 (\frac{d^3y}{dx^3})+y=0\)

Answer 1

(c) \(x^2(\frac{dy}{dx})^4+sin\,y-(\frac{d^2y}{dx^2})^2=0\)