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

Explanation

We have given

`root(3)((d^2y)/(dx^2))=sqrt((dy)/(dx))`

We can rewrite it as

`root(3)((d^2y)/(dx^2))=((dy)/(dx))^{1/2}`

Taking cube on both side

`((d^2y)/(dx^2))=((dy)/(dx))^{3/2}`

`((d^2y)/(dx^2))-((dy)/(dx))^{3/2}=0`

Here the highest order of derivative is two.

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