What is the solution for dy-(y-3)^2dx=0 ?

The solution for dy-(y-3)^2dx=0 is y=-1/(x+c_{1)}+(3x)/(x+c_{1)}+(3c_{1})/(x+c_{1)}

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dy-(y-3)^2dx=0

d y - (y - 3)^{2} d x = 0

y = - \frac{1}{x + c _{1}} + \frac{3 x}{x + c _{1}} + \frac{3 c _{1}}{x + c _{1}}

Solution steps

d y - (y - 3)^{2} d x = 0

Solve separable ODE:

y = - \frac{1}{x + c _{1}} + \frac{3 x}{x + c _{1}} + \frac{3 c _{1}}{x + c _{1}}

y = - \frac{1}{x + c _{1}} + \frac{3 x}{x + c _{1}} + \frac{3 c _{1}}{x + c _{1}}

\int x^{2} cos (x) d x

f (x) = \frac{x ^{\frac{2}{3}}}{x ^{\frac{1}{3}} + 2}

\frac{d}{d x} (\frac{tan ( x ) - 5}{sec ( x )})

\frac{d x}{d y} = \frac{x - 11}{3 y + 2513}, y (0) = 77

t \to 2 lim (3 - t + 7)

What is the solution for dy-(y-3)^2dx=0 ?
The solution for dy-(y-3)^2dx=0 is y=-1/(x+c_{1)}+(3x)/(x+c_{1)}+(3c_{1})/(x+c_{1)}