What is the solution for 2dy-(y-7)^2dx=0 ?

The solution for 2dy-(y-7)^2dx=0 is y=-2/(x+c_{1)}+(7x)/(x+c_{1)}+(7c_{1})/(x+c_{1)}

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2dy-(y-7)^2dx=0

2 d y - (y - 7)^{2} d x = 0

y = - \frac{2}{x + c _{1}} + \frac{7 x}{x + c _{1}} + \frac{7 c _{1}}{x + c _{1}}

Solution steps

2 d y - (y - 7)^{2} d x = 0

Solve separable ODE:

y = - \frac{2}{x + c _{1}} + \frac{7 x}{x + c _{1}} + \frac{7 c _{1}}{x + c _{1}}

y = - \frac{2}{x + c _{1}} + \frac{7 x}{x + c _{1}} + \frac{7 c _{1}}{x + c _{1}}

What is the solution for 2dy-(y-7)^2dx=0 ?
The solution for 2dy-(y-7)^2dx=0 is y=-2/(x+c_{1)}+(7x)/(x+c_{1)}+(7c_{1})/(x+c_{1)}