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

Explanation

`
frac{d^{2} y}{d x^{2}}+5 x(frac{d y}{d x})^{2}-6 y=log x `

`
Rightarrow frac{d^{2} y}{d x^{2}}+5 x(frac{d y}{d x})^{2}-6 y-log x=0`



highest order in the differential equation is ` frac{d^{2} y}{d x^{2}}`.


so , order=`2`.


highest pawer raised to `frac{d^{2} y}{d x^{2}}` is 0ne.


thus , degree =`1`.