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

The solution for (dy)/(dx)+y=e^xy^{-2} is y=\sqrt[3]{(3e^{4x}+c_{1})/(4e^{3x)}}

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(dy)/(dx)+y=e^xy^{-2}

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

y = 3 \frac{3 e ^{4 x} + c _{1}}{4 e ^{3 x}}

Solution steps

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

Solve Bernoulli ODE:

y = 3 \frac{3 e ^{4 x} + c _{1}}{4 e ^{3 x}}

y = 3 \frac{3 e ^{4 x} + c _{1}}{4 e ^{3 x}}

y = x^{3}, at x = - 4

\int_{- 4}^{0} (4 + 16 - x^{2}) d x

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\int \frac{1}{x ^{2} 100 - x ^{2}} d x

x \to - \infty lim (sin (x))

What is the solution for (dy)/(dx)+y=e^xy^{-2} ?
The solution for (dy)/(dx)+y=e^xy^{-2} is y=\sqrt[3]{(3e^{4x}+c_{1})/(4e^{3x)}}