TRMCTICE ANOTHER

Consider the following initial$-$value problem.

$(y^{2}cos(x)-3x^{2}y-8x)dx(2ysin(x)-x^{3}ln(y))dy=0,x(0)=e$

Let $\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{x}}=y^{2}cos(x)-3x^{2}y-8x.$ Integrate this partial derivative with respect to $x,$ lenting h$($y$)$ be an unknown function in $y.$

$f(x,y)=h(y)$

Find the derivative of $h(y).$

$h^{\text{'}}(y)=$

Solve the given initial$-$value problem.

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Vewng Saved Wor Berethut Berour

ZILLDIFFEQMODAP$122\mathrm{.}4\mathrm{.}928.$

$11.[1/1$ Points$]$