What is the solution for (dy)/(dt)=10y-2y^2 ?

The solution for (dy)/(dt)=10y-2y^2 is y=-(5e^{10t+5c_{1}})/(1-e^{5(2t+c_{1))}}

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(dy)/(dt)=10y-2y^2

\frac{d y}{d t} = 10 y - 2 y^{2}

y = - \frac{5 e ^{10 t + 5 c_{1}}}{1 - e ^{5 (2 t + c_{1})}}

Solution steps

\frac{d y}{d t} = 10 y - 2 y^{2}

Solve separable ODE:

y = - \frac{5 e ^{10 t + 5 c_{1}}}{1 - e ^{5 (2 t + c_{1})}}

y = - \frac{5 e ^{10 t + 5 c_{1}}}{1 - e ^{5 (2 t + c_{1})}}

What is the solution for (dy)/(dt)=10y-2y^2 ?
The solution for (dy)/(dt)=10y-2y^2 is y=-(5e^{10t+5c_{1}})/(1-e^{5(2t+c_{1))}}