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Question: The order and degree of the differential equation \(x \left( \frac { d y } { d x } \right) ^ { 3 } ...

The order and degree of the differential equation

x(dydx)3+2(d2ydx2)2+3y+x=0x \left( \frac { d y } { d x } \right) ^ { 3 } + 2 \left( \frac { d ^ { 2 } y } { d x ^ { 2 } } \right) ^ { 2 } + 3 y + x = 0 are respectively

A

3, 2

B

2, 1

C

2, 2

D

2, 3

Answer

2, 2

Explanation

Solution

Clearly, order of highest derivative = 2

and degree of the highest order derivative = 2

order = 2, degree = 2.