Question

The differential equation $x \left( \frac { d ^ { 2 } y } { d x ^ { 2 } } \right) ^ { 3 } + \left( \frac { d y } { d x } \right) ^ { 4 } + y = x ^ { 2 }$ is of

• A. Degree 3 and order 2
• B. Degree 1 and order 1
• C. Degree 4 and order 3
• D. Degree 4 and order 4

Answer 1

Answer: (A)

Degree 3 and order 2

Answer 2

Given differential equation,

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

In this equation order of highest derivative is 2,

Hence order $= 2$ and degree of highest derivative $= 3$ .