Question

The order and degree of the differential equation

$\rho = \frac { \left[ 1 + \left( \frac { d y } { d x } \right) ^ { 2 } \right] ^ { 3 / 2 } } { d ^ { 2 } y / d x ^ { 2 } }$ are respectively

• A. 2, 2
• B. 2, 3
• C. 2, 1
• D. None of these

Answer 1

Answer: (A)

2, 2

Answer 2

$\rho \cdot \frac { d ^ { 2 } y } { d x ^ { 2 } } = \left[ 1 + \left( \frac { d y } { d x } \right) ^ { 2 } \right] ^ { 3 / 2 }$⇒ $\left( \rho \cdot \frac { d ^ { 2 } y } { d x ^ { 2 } } \right) ^ { 2 } = \left[ 1 + \left( \frac { d y } { d x } \right) ^ { 2 } \right] ^ { 3 }$

Order = 2, degree = 2