What is the solution for (x-1)dy+(y-x^{-2}+2x^{-3})dx=0 ?

The solution for (x-1)dy+(y-x^{-2}+2x^{-3})dx=0 is y=-1/(x(x-1))+1/(x^2(x-1))+(c_{1})/(x-1)

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(x-1)dy+(y-x^{-2}+2x^{-3})dx=0

(x - 1) d y + (y - x^{- 2} + 2 x^{- 3}) d x = 0

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

Solution steps

(x - 1) d y + (y - x^{- 2} + 2 x^{- 3}) d x = 0

Solve linear ODE:

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

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

\frac{\partial}{\partial x} (- 2 yz)

y^{^{''}} + 2 y^{^{'}} + 8 y = 0

n = 0 \sum \infty \frac{( 2 x ) !}{n !}

\int_{0}^{6} 4 x^{2} e^{- x} d x

\int (ln (y) + 2 x y^{3}) d x

What is the solution for (x-1)dy+(y-x^{-2}+2x^{-3})dx=0 ?
The solution for (x-1)dy+(y-x^{-2}+2x^{-3})dx=0 is y=-1/(x(x-1))+1/(x^2(x-1))+(c_{1})/(x-1)