Correct Answer - Option 4 : 5
Concept:
Degree: Degree of a differential equation is the power of the highest derivative.
Calculation:
We have, \(\rm \left(\frac {d^3y}{dx^3}\right)^{5/2} = \left(\frac {d^2y}{dx^2}\right)^{2}\)
Squaring both the sides, we get
\(\rm \left(\frac {d^3y}{dx^3}\right)^{5} = \left(\frac {d^2y}{dx^2}\right)^{4}\)
Here highest derivative is \(\rm \left(\frac {d^3y}{dx^3}\right)^{5}\)
∴Degree = power of \(\rm \left(\frac {d^3y}{dx^3}\right)^{5}\)= 5
Hence, option (4) is correct.