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}}

\int_{4}^{\infty} 5 e^{- \frac{y}{2}} d y

\int \frac{x}{x + 2 y} d x

\frac{x ^{2} - 1}{x ^{3}}

\frac{d v}{d t} = 2.1 - \frac{7 v}{2180}, v (0) = 0

f (x) = - 2 x^{3}, at x = 2

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}}