What is the solution for ydx+((x-1)/(2x^3y))dy=0 ?

The solution for ydx+((x-1)/(2x^3y))dy=0 is y=-3/(-2x^3-3x^2-6x-6ln(-1+x)+c_{1)+11}

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ydx+((x-1)/(2x^3y))dy=0

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

y = - \frac{3}{- 2 x ^{3} - 3 x ^{2} - 6 x - 6 ln ( - 1 + x ) + c _{1} + 11}

Solution steps

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

Solve separable ODE:

y = - \frac{3}{- 2 x ^{3} - 3 x ^{2} - 6 x - 6 ln ( - 1 + x ) + c _{1} + 11}

y = - \frac{3}{- 2 x ^{3} - 3 x ^{2} - 6 x - 6 ln ( - 1 + x ) + c _{1} + 11}

What is the solution for ydx+((x-1)/(2x^3y))dy=0 ?
The solution for ydx+((x-1)/(2x^3y))dy=0 is y=-3/(-2x^3-3x^2-6x-6ln(-1+x)+c_{1)+11}