What is the solution for y^'=5y(1-y/7) ?

The solution for y^'=5y(1-y/7) is y=-(7e^{5t+c_{1}})/(1-e^{5t+c_{1)}}

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y^'=5y(1-y/7)

y^{^{'}} = 5 y (1 - \frac{y}{7})

y = - \frac{7 e ^{5 t + c_{1}}}{1 - e ^{5 t + c_{1}}}

Solution steps

y^{'} (t) = 5 y (1 - \frac{y}{7})

Solve separable ODE:

y = - \frac{7 e ^{5 t + c_{1}}}{1 - e ^{5 t + c_{1}}}

y = - \frac{7 e ^{5 t + c_{1}}}{1 - e ^{5 t + c_{1}}}

What is the solution for y^'=5y(1-y/7) ?
The solution for y^'=5y(1-y/7) is y=-(7e^{5t+c_{1}})/(1-e^{5t+c_{1)}}