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

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

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(dy)/(dx)-y=e^x*y^2

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

y = \frac{2 e ^{x}}{- e ^{2 x} + c _{1}}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{2 e ^{x}}{- e ^{2 x} + c _{1}}

y = \frac{2 e ^{x}}{- e ^{2 x} + c _{1}}

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