Determine the order and degree of each of the following differential equations. State also if they are linear or non-linear. (i)`({1+((dy)/(dx))^2}^(3//2))/((d^2y)/(dx^2))=k`

Explanation

`[1+(\frac{d y}{d x})^{2}]^{3 / 2}=k .`


`(1+(\frac{d y}{d x})^{2})^{3 / 2}=k \frac{d^{2} y}{d x^{2}}`


squaring both sides.


`(1+(\frac{d y}{d x})^{2})^{3}=k^{2}(\frac{d^{2} y}{d x^{2}})^{2}`


...