Determine order and degree(if defined) of differential equation `(d^4y)/(dx^4) + sin(y^("')) = 0`
`(d^4y)/(dx^4) + sin(y^(′′′)) = 0`
`=> y^(′′′) + sin(y^(′′′)) = 0`
The highest order derivative present in the differential equation is `y^(′′′)` . Therefore, its order is four.
The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined.