Determine the order and degree of each of the following differential equation. State also whether they are linear or non-linear: `x^2((d^2y)/(dx^2))^3+y((dy)/(dx))^4+y^4=0`

Explanation

We have given that

`x^2((d^2y)/(dx^2))^3+y((dy)/(dx))^4+y^4=0`

Here the highest order of derivative is two.

Order`=2`

And the power of the highest order of derivative is three.

Degree`=3`

Here the exponant of differential coefficient is more than one.

So it is non linear equation.