What is the solution for (dy)/(dx)=3y(1+y) ?

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

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(dy)/(dx)=3y(1+y)

\frac{d y}{d x} = 3 y (1 + y)

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

Solution steps

\frac{d y}{d x} = 3 y (1 + y)

Solve separable ODE:

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

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

y^{^{'}} = \frac{( y ^{2} - y )}{x}

\frac{d v}{d t} = 1 - 7 v

\frac{d y}{d x} = 2 y \cdot cos (x)

1 + x^{3} \frac{d y}{d x} = x^{2} y + x^{2}

x \frac{d y}{d x} + y = 0

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