What is the solution for (x^2+4)((dy)/(dx))=xy ?

The solution for (x^2+4)((dy)/(dx))=xy is y=c_{1}sqrt(x^2+4)

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(x^2+4)((dy)/(dx))=xy

(x^{2} + 4) (\frac{d y}{d x}) = x y

y = c_{1} x^{2} + 4

Solution steps

(x^{2} + 4) (\frac{d y}{d x}) = x y

Solve separable ODE:

y = c_{1} x^{2} + 4

y = c_{1} x^{2} + 4

\int x^{3} x^{2} + 40 d x

\frac{4}{x ^{2}}

\int \frac{( x - 95 )}{x ^{2} ( x + 5 )} d x

y^{^{'}} = (x - 3) (y + 1)^{(\frac{2}{3})}

x \to 2 + lim (e^{\frac{3}{2 - x}})

What is the solution for (x^2+4)((dy)/(dx))=xy ?
The solution for (x^2+4)((dy)/(dx))=xy is y=c_{1}sqrt(x^2+4)