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

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

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

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

y = - W (- \frac{x}{e ^{\frac{- 1 - c _{1} x}{x}}})

Solution steps

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

Solve separable ODE:

y = - W (- \frac{x}{e ^{\frac{- 1 - c _{1} x}{x}}})

y = - W (- \frac{x}{e ^{\frac{- 1 - c _{1} x}{x}}})

\frac{d y}{d x} = 2 y + 1 cos (x), y (π) = 0

\frac{d x}{d t} = k x

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

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

\frac{d r ( θ )}{r ( θ )} = \frac{r ( θ ) d θ}{θ ^{2}}

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