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what is the degree of the differential e...

what is the degree of the differential equation is
` ((d^(3)y)/(dx^(2))^(3//2) = ((d^(2)y)/(dx^(2)))^(2)` ?

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Consider the given differntial equation
` ((d^(3)y)/(dx^(3)))^(3/2) = ((d^(2)y)/(dx^(2)))^(2)`
In order to find degree, differential equation should be free from fractional indices.
Now, squaring eqn (i) both sides, we get
`((d^(3)y)/(dx^(3)))^(3) = ((d^(2)y)/(dx^(2)))^(4)`
Since the power of highest order derivative is 3, therefore,degree =3
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