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

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

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(dy)/(dx)=(x(y-2))/(x^2+4)

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

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

Solution steps

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

Solve separable ODE:

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

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

t^{2} t

x \to 0 + lim (x ln (x))

x \to 3 - lim (\frac{8}{x - 3})

x (\frac{d y}{d x}) - y = 3 x^{2}

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

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