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

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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