What is the solution for x^2((dy)/(dx))=y-yx ?

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

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x^2((dy)/(dx))=y-yx

x^{2} (\frac{d y}{d x}) = y - y x

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

Solution steps

x^{2} (\frac{d y}{d x}) = y - y x

Solve separable ODE:

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

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

d er i v a t i v e y = (x + 2)^{2} - 3

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

\int_{- 5}^{5} \frac{y}{25 - y ^{2}} d y

d er i v a t i v e x^{3} (2 x - 1)^{7}

x \to 0 lim (x + 2)

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