What is the solution for (dy)/(dx)+y=y^2,y(0)=2 ?

The solution for (dy)/(dx)+y=y^2,y(0)=2 is y= 2/(2-e^x)

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(dy)/(dx)+y=y^2,y(0)=2

\frac{d y}{d x} + y = y^{2}, y (0) = 2

y = \frac{2}{2 - e ^{x}}

Solution steps

\frac{d y}{d x} + y = y^{2}

Solve separable ODE:

y = \frac{2}{2 - e ^{x}}

y = \frac{2}{2 - e ^{x}}

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What is the solution for (dy)/(dx)+y=y^2,y(0)=2 ?
The solution for (dy)/(dx)+y=y^2,y(0)=2 is y= 2/(2-e^x)