For the following equations, determine its order, degree (if exists) dddddd(d2ydx2)2+(dydx)2=xsin(d2ydx2)

Question

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

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

Answer 1

In the equation

The highest order derivative is $("d"^2)/("d"x^3)$ and its order is 2.

It has a term $sin(("d"^2y)/("d"x^2))$

So its degree is not defined or degree does not exist.