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what is the degree of the equation [(d...

what is the degree of the equation
`[(d^(2)y)/(dx^(2))]=[y+((dy)/(dx))^(2)]^1/4` ?

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
The given differential equation is :
`(d^(2)y)/(dx^(2)) = [ y+ ((dy)/(dx))^(2) ]^(1//4)`
This can be re-written as by squaring both the sides to the power 4 to make it a polynomial of derivative.
` [(d^(2)y)/(dx^(2))]^(4) = [y+((dy)/(dx))^(2)]`
Power of highest derivatives 4,
So, degree of the equation is 4.
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