Question

The order and degree of the differential equation

$\left[ 4 + \left( \frac { d y } { d x } \right) ^ { 2 } \right] ^ { 2 / 3 } = \frac { d ^ { 2 } y } { d x ^ { 2 } }$ are

• A. 2, 2
• B. 3, 3
• C. 2, 3
• D. 3, 2

Answer 1

Answer: (C)

2, 3

Answer 2

Here power on the differential coefficient is fractional; therefore change it into positive integer, so

$\left[ 4 + \left( \frac { d y } { d x } \right) ^ { 2 } \right] ^ { 2 / 3 } = \frac { d ^ { 2 } y } { d x ^ { 2 } }$ ⇒ a

Hence order is 2 and degree is 3.