What is the solution for (dy)/(dx)=(y-7)^2 ?

The solution for (dy)/(dx)=(y-7)^2 is y=-1/(x+c_{1)}+(7x)/(x+c_{1)}+(7c_{1})/(x+c_{1)}

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(dy)/(dx)=(y-7)^2

\frac{d y}{d x} = (y - 7)^{2}

y = - \frac{1}{x + c _{1}} + \frac{7 x}{x + c _{1}} + \frac{7 c _{1}}{x + c _{1}}

Solution steps

\frac{d y}{d x} = (y - 7)^{2}

Solve separable ODE:

y = - \frac{1}{x + c _{1}} + \frac{7 x}{x + c _{1}} + \frac{7 c _{1}}{x + c _{1}}

y = - \frac{1}{x + c _{1}} + \frac{7 x}{x + c _{1}} + \frac{7 c _{1}}{x + c _{1}}

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

\frac{\partial}{\partial x} (8 x^{2} y + 5 x y^{3})

y = 7 x^{2} - 4 x, - 74

\int (x - 9)^{2} d x

What is the solution for (dy)/(dx)=(y-7)^2 ?
The solution for (dy)/(dx)=(y-7)^2 is y=-1/(x+c_{1)}+(7x)/(x+c_{1)}+(7c_{1})/(x+c_{1)}