Question

For $x ∈ R$, let $y(x)$ be the solution of the differential equation (x^2 -5)$$\frac{dy}{dx}$$-2xy = - 2x$$(x^2-5)^2 such that $y(2) =7$. Then the maximum value of the function $y(x)$ is

Answer 1

The answer is 16.