Question

The degree of the differential equation

$\frac { d ^ { 2 } y } { d x ^ { 2 } } + \sqrt { 1 + \left( \frac { d y } { d x } \right) ^ { 3 } } = 0$ is

• A. 1
• B. 2
• C. 3
• D. 6

Answer 1

Answer: (B)

2

Answer 2

$\frac { d ^ { 2 } y } { d x ^ { 2 } } = - \sqrt { 1 + \left( \frac { d y } { d x } \right) ^ { 3 } }$

On squaring, we get

$\left( \frac { d ^ { 2 } y } { d x ^ { 2 } } \right) ^ { 2 } = 1 + \left( \frac { d y } { d x } \right) ^ { 3 }$

Obviously the degree is 2.