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The order and degree of the differential...

The order and degree of the differential equation
` [1 + ((dy)/(dx))^(2)]^(3) = p^(2) [(d^(2)y)/(dx^(2))]^(2)`

A

3 and 2

B

2 and 2

C

2 and 3

D

1 and 3

Text Solution

Verified by Experts

The correct Answer is:
B
Degree of a diferential equaiton is power of the highest order derivative.
In the given differential equaiton.
` [1 + ((dy)/(dx))^(2)]^(3) = p^(2) [(d^(2)y)/(dx^(2))]^(2)`
Order =2 and degree =2.
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