What is the solution for dy-(y-9)^2*dx=0 ?

The solution for dy-(y-9)^2*dx=0 is y=-1/(x+c_{1)}+(9x)/(x+c_{1)}+(9c_{1})/(x+c_{1)}

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dy-(y-9)^2*dx=0

d y - (y - 9)^{2} \cdot d x = 0

y = - \frac{1}{x + c _{1}} + \frac{9 x}{x + c _{1}} + \frac{9 c _{1}}{x + c _{1}}

Solution steps

d y - (y - 9)^{2} \cdot d x = 0

Solve separable ODE:

y = - \frac{1}{x + c _{1}} + \frac{9 x}{x + c _{1}} + \frac{9 c _{1}}{x + c _{1}}

y = - \frac{1}{x + c _{1}} + \frac{9 x}{x + c _{1}} + \frac{9 c _{1}}{x + c _{1}}

\frac{d}{d x} (\frac{cos ( m x )}{sin ( n x )})

\int_{0}^{4} (9 e^{- 2 x}) d x

\int \frac{4}{100 - t} d t

\frac{d}{d x} ((5 + x) ln (x))

x + 1, 0.75

What is the solution for dy-(y-9)^2*dx=0 ?
The solution for dy-(y-9)^2*dx=0 is y=-1/(x+c_{1)}+(9x)/(x+c_{1)}+(9c_{1})/(x+c_{1)}