Order and degree of the differential equation $\left[1+\left(\frac{dy}{dx}\right)^3\right]^{\frac{5}{4}}=\frac{d^2y}{dx^2}$ are :

Order 1, degree 3 Order 2, degree 4 Order 1, degree 4 Order 2, degree 5

Order 2, degree 4

The correct answer is Option (2) → Order 2, degree 4 $\left[1+\left(\frac{dy}{dx}\right)^3\right]^{\frac{5}{4}}=\frac{d^2y}{dx^2}$ $⇒\left[1+\left(\frac{dy}{dx}\right)^3\right]^5=\left(\frac{d^2y}{dx^2}\right)^4$ Order 2, degree 4