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

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

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dy-(y-1)^2*dx=0

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

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

Solution steps

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

Solve separable ODE:

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

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

- 10 + 4 x + 5 \frac{d x}{d t} = 0

5 x y \frac{d y}{d x} = 2 x, y > 0

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

x + x y + y^{^{'}} = 0

\frac{d y}{d x} = 2 e^{x - y}, y (0) = ln (4)

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