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