What is the solution for dy-(y-5)^2dx=0 ?

The solution for dy-(y-5)^2dx=0 is y=-1/(x+c_{1)}+(5x)/(x+c_{1)}+(5c_{1})/(x+c_{1)}

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dy-(y-5)^2dx=0

d y - (y - 5)^{2} d x = 0

y = - \frac{1}{x + c _{1}} + \frac{5 x}{x + c _{1}} + \frac{5 c _{1}}{x + c _{1}}

Solution steps

d y - (y - 5)^{2} d x = 0

Solve separable ODE:

y = - \frac{1}{x + c _{1}} + \frac{5 x}{x + c _{1}} + \frac{5 c _{1}}{x + c _{1}}

y = - \frac{1}{x + c _{1}} + \frac{5 x}{x + c _{1}} + \frac{5 c _{1}}{x + c _{1}}

x^{2}, 2 x^{4}, - 1, 1

x \to 0 lim (\frac{1}{sin ^{2} ( x )})

\int_{0}^{1} 30 \frac{1}{x ^{p}} d x

\frac{4 x + x ^{2}}{( 2 + x ) ^{2}}

\int \frac{u}{1 + 2 u} d u

What is the solution for dy-(y-5)^2dx=0 ?
The solution for dy-(y-5)^2dx=0 is y=-1/(x+c_{1)}+(5x)/(x+c_{1)}+(5c_{1})/(x+c_{1)}