What is the solution for (dy)/(dx)=3y-y^2 ?

The solution for (dy)/(dx)=3y-y^2 is y=-(3e^{3x+3c_{1}})/(1-e^{3(x+c_{1))}}

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(dy)/(dx)=3y-y^2

\frac{d y}{d x} = 3 y - y^{2}

y = - \frac{3 e ^{3 x + 3 c_{1}}}{1 - e ^{3 (x + c_{1})}}

Solution steps

\frac{d y}{d x} = 3 y - y^{2}

Solve separable ODE:

y = - \frac{3 e ^{3 x + 3 c_{1}}}{1 - e ^{3 (x + c_{1})}}

y = - \frac{3 e ^{3 x + 3 c_{1}}}{1 - e ^{3 (x + c_{1})}}

\int \frac{ln ( 7 x )}{x} d x

y = cos (x)

\frac{d}{d t} (- 3 t)

f (x) = \frac{x}{5}

\frac{d}{d x} \frac{1 - sin ^{2} ( x )}{x ^{2}}

What is the solution for (dy)/(dx)=3y-y^2 ?
The solution for (dy)/(dx)=3y-y^2 is y=-(3e^{3x+3c_{1}})/(1-e^{3(x+c_{1))}}