Correct Answer - Option 2 : 5
Concept:
Degree: The degree of a differential equation is the power of the highest derivative.
Calculation:
We have, \(\rm \left(\frac{d^2 y}{dx^2} \right )^{5/2} = \left(\frac{dy}{dx} \right )^3\)
Squaring both the sides, we get
\(\rm \left(\frac{d^2 y}{dx^2} \right )^5 = \left(\frac{dy}{dx} \right )^6\)
Here highest derivative is \(\rm \left(\frac{d^2 y}{dx^2} \right )^5 \)
As we know, degree of a differential equation is the power of the highest derivative.
∴ Degree = 5