The degree and order of the differential equation $\left(\frac{d^2y}{dx^2}\right)^{4/5}=10\frac{dy}{dx}+2$ are:

Degree 4, Order 2

The correct answer is Option (4) → Degree 4, Order 2

$\left(\frac{d^2y}{dx^2}\right)^{4/5}=10\frac{dy}{dx}+2$

$⇒\left(\frac{d^2y}{dx^2}\right)^4=\left(10\frac{dy}{dx}+2\right)^5$

Order = Highest order derivative = 02

Degree = Power of highest order derivative = 04