# Degree of $(y^{\prime\prime})^2(y^\prime)^2=x\sin(y^\prime)$

Degree of $$(y^{\prime\prime})^2(y^\prime)^2=x\sin(y^\prime)$$

My try: since the highest order derivative is $$y^{\prime\prime}$$ and it's raised to power $$2$$, therefore I think that degree should be $$2$$.

But in my assignment the answer is given that since $$\sin(y^\prime)$$ would contain increasing powers of $$y^\prime$$, therefore degree isn't defined.