What is the solution for 4edy-(y-1)^2dx=0 ?

The solution for 4edy-(y-1)^2dx=0 is y=-(4e)/(x+c_{1)}+x/(x+c_{1)}+(c_{1})/(x+c_{1)}

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4edy-(y-1)^2dx=0

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

y = - \frac{4 e}{x + c _{1}} + \frac{x}{x + c _{1}} + \frac{c _{1}}{x + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{4 e}{x + c _{1}} + \frac{x}{x + c _{1}} + \frac{c _{1}}{x + c _{1}}

y = - \frac{4 e}{x + c _{1}} + \frac{x}{x + c _{1}} + \frac{c _{1}}{x + c _{1}}

What is the solution for 4edy-(y-1)^2dx=0 ?
The solution for 4edy-(y-1)^2dx=0 is y=-(4e)/(x+c_{1)}+x/(x+c_{1)}+(c_{1})/(x+c_{1)}