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Determine its order, degree (if exists) ...

Determine its order, degree (if exists)
`((d^(3)y)/(dx^(3)))^((2)/(3))-3(d^(2)y)/(dx^(2))+5(dy)/(dx)+4=0`

Text Solution

Verified by Experts

The correct Answer is:
Order-3, degree-2
We have `(d^(3)y)/(dx^(3))^(2//3)+4-3(d^(2)y)/(dx^(2))+5(dy)/(dx)=0`
or `(d^(3)y)/(dx^(3))^(2)=(3(d^(2)y)/(dx^(2))-5(dy)/(dx)-4)^(3)`
Clearly, it is differential equation of degree 2 and order 3.
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