What is the solution for (xdy)/(dx)-y=x^{2017}*y^2 ?

The solution for (xdy)/(dx)-y=x^{2017}*y^2 is y=(2018x)/(-x^{2018)+c_{1}}

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(xdy)/(dx)-y=x^{2017}*y^2

\frac{x d y}{d x} - y = x^{2017} \cdot y^{2}

y = \frac{2018 x}{- x ^{2018} + c _{1}}

Solution steps

\frac{x d y}{d x} - y = x^{2017} \cdot y^{2}

Solve Bernoulli ODE:

y = \frac{2018 x}{- x ^{2018} + c _{1}}

y = \frac{2018 x}{- x ^{2018} + c _{1}}

\frac{\partial}{\partial x} ((2 - x y) e^{- x y})

\frac{\partial}{\partial x} ((2 x + 2 y) e^{y})

\int \frac{2 y}{x ^{2} + 1} d y

\int x + y + z d x

\frac{d}{d x} (- 2 x^{2} + 3 x - 4)

What is the solution for (xdy)/(dx)-y=x^{2017}*y^2 ?
The solution for (xdy)/(dx)-y=x^{2017}*y^2 is y=(2018x)/(-x^{2018)+c_{1}}