Determine the order and degree of each of the following differential equation. State also whether they are linear or non-linear: `2(d^2y)/(dx^2)+3\ sqrt(1-((dy)/(dx))^2-y)=0`

Explanation

We have given

`2(d^2y)/(dx^2)+3\ sqrt(1-((dy)/(dx))^2-y)=0`

Rewrite equation

`2(d^2y)/(dx^2)=-3\ sqrt(1-((dy)/(dx))^2-y)`

Take square on both side

`4((d^2y)/(dx^2))^2=9(1-((dy)/(dx))^2-y)`

`4((d^2y)/(dx^2))^2-9+9((dy)/(dx))^2+9y`

Here the highest order of derivative is two.

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