If $\frac{d}{dx}\left(2\frac{d^2y}{dx^2}\right)^3=7,$ then the sum of order and degree of the differential equation is :
Answer & explanation
Correct answer: option 4
$\frac{d}{dx}\left(2\frac{d^2y}{dx^2}\right)^3=7$
$⇒2×3\left(\frac{d^2y}{dx^2}\right)^2\left(\frac{d^3y}{dx^3}\right)=7$
order = 3, degree = 1
$3 + 1 = 4$