If the curve y=y(x) is the solution of the differential equation 2(x^2+x^5 / 4) d y-y(x+x^1 / 4) d x=2 x^9 / 4 d x, x>0 which passes through the…

If the curve $\displaystyle y=y(x)$ is the solution of the differential equation $\displaystyle 2\left(x^2+x^{5 / 4}\right) \mathrm{d} y-y\left(x+x^{1 / 4}\right) \mathrm{d} x=2 x^{9 / 4} \mathrm{~d} x, x>0$ which passes through the point $\displaystyle \left(1,1-\frac{4}{3} \log _{\mathrm{e}} 2\right)$, then the value of $\displaystyle y(16)$ is equal to :