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}}

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)}