What is the solution for (1+y)*dx+((dy)/((x^2-2*x)))=0 ?

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

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(1+y)dx+((dy)/((x^2-2x)))=0

(1 + y) \cdot d x + (\frac{d y}{( x ^{2} - 2 \cdot x )}) = 0

y = e^{- \frac{x ^{3}}{3} + x^{2} - c_{1}} - 1

Solution steps

(1 + y) \cdot d x + (\frac{d y}{( x ^{2} - 2 \cdot x )}) = 0

Solve separable ODE:

y = e^{- \frac{x ^{3}}{3} + x^{2} - c_{1}} - 1

y = e^{- \frac{x ^{3}}{3} + x^{2} - c_{1}} - 1

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