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

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

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

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

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

Solution steps

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

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}}

\int e^{4 x} cos (2 x) d x

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