Find the order and degree of the differential equation.
`(d^(3)y)/(dx^(3))=sqrt(x+((dy)/(dx))^(3))`

Explanation

`(d^(3)y)/(dx^(3))=sqrt(x+((dy)/(dx))^(3))`
`implies ((d^(3)y)/(dx^(3)))^(2)=x+((dy)/(dx))^(2)`
Here the highest order derivative is `(d^(3)y)/(dx^(3))`.
Therefore the order of the differntial equation is `3`.
The degree of highest derivative is `2`.
Therefore the degree of the differential equation is `2`.