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}}}

\frac{d}{d s} (1)

\frac{d}{d x} ((- 2 x - 3)^{5} (3 x + 1)^{3})

n = 2 \sum \infty ln (n)

t \to 0 lim (ln (t))

\int cot (t) sin^{2} (t) - 25 d t

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)}}