Correct Answer - Option 4 : 1
Concept:
Degree: The degree of a differential equation is the power of the highest derivative.
Calculation:
We have, \(\rm \left(\frac {d^3y}{dx^3}\right)^{1/2} = \left(\frac {d^2y}{dx^2}\right)^{2}\)
Squaring both the sides, we get
\(\rm \left(\frac {d^3y}{dx^3}\right) = \left(\frac {d^2y}{dx^2}\right)^{4}\)
Here highest derivative is \(\rm \left(\frac {d^3y}{dx^3}\right)\)
∴Degree = power of \(\rm \left(\frac {d^3y}{dx^3}\right)\)= 1
Hence, option (4) is correct.