What is the solution for xy^'-y=x^{2017}y^2 ?

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

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xy^'-y=x^{2017}y^2

x y^{^{'}} - y = x^{2017} y^{2}

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

Solution steps

x y^{'} (x) - y = x^{2017} y^{2}

Solve Bernoulli ODE:

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

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

e^{3 t} t^{2}

\int c^{3} t d t

(- 2, - 1), (3, 4)

\int \frac{x - 4}{x ^{2} - 8 x + 1} d x

t \to 3 - lim (\frac{t ^{2}}{9 - t ^{2}})

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