What is the solution for (dy)/(dx)=(2x(y-2))/(x^2+1) ?

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

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(dy)/(dx)=(2x(y-2))/(x^2+1)

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

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

Solution steps

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

Solve separable ODE:

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

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

9 + 2 x

\int x^{2} y^{3} d x

n = 1 \sum \infty n x^{n - 1}

\int 3 x^{2} e^{5 x^{3}} d x

n = 1 \sum \infty \frac{ln ( 9 n )}{n}

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