Question

The order and degree of the differential equation \(\sqrt{2+(\frac{d^2y}{dx^2})^3} = (\frac{d^3y}{dx^3})^{5/2}\) respectively are

• A. \(2,3\)
• B. \(3,5\)
• C. \(3,2\)
• D. \(5,3\)

Hint:

Remove the roots by squaring, then read the highest derivative.

Answer 1

The Correct Option is B

Step 1: Read off after squaring
Highest order derivative: third. Its exponent: $5$. So order $3$ and degree $5$.

Final Answer:
Option (B). \[ \boxed{\text{(B)}} \]