For the following equations, determine its order, degree (if exists) ddddddy(dydx)=x(dydx)+(dydx)3

Question

For the following equations, determine its order, degree (if exists)

$y(("d"y)/("d"x)) = x/((("d"y)/("d"x)) + (("d"y)/("d"x))^3$

Answer 1

$y("d"y)/("d"x) = x/(("d"y)/("d"x) + (("d"y)/("d"x))^3$

$y ("d"y)/("d"x)[("d"y)/("d"x) + (("d"y)/("d"x))^3]$ = x

$y(("d"y)/("d"x))^2 + y(("d"y)/("d"x))^4$ = x

In this equation

The highest order derivative is $("d"y)/("d"x)$ and its power is 4.

Its order = 1 and degree =