Find the values $\displaystyle a$ and $\displaystyle b$ such that the positive function $\displaystyle y(x)$ defined implicitly by the equation $\displaystyle x^a=Ae^{-(xy)^b}$ satisfies $\displaystyle dy/dx+y/x=(5/4)x^3y^5$. Note: $\displaystyle y(1)=2$

Looking for a hint as to how I should tackle this problem. I implicitly differentiated the first equation and ended up with $\displaystyle dy/dx+y/x=(-ax^{a-2})/(Ab(xy)^{b-1})$. I really don't know though. I am stumped.