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

The solution for (dy)/(dt)=((y+3))/((1-y)) is y=-4\W(-1/(4e^{(-t-c_{1))/4}})-3

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(dy)/(dt)=((y+3))/((1-y))

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

y = - 4 W (- \frac{1}{4 e ^{\frac{- t - c _{1}}{4}}}) - 3

Solution steps

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

Solve separable ODE:

y = - 4 W (- \frac{1}{4 e ^{\frac{- t - c _{1}}{4}}}) - 3

y = - 4 W (- \frac{1}{4 e ^{\frac{- t - c _{1}}{4}}}) - 3

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What is the solution for (dy)/(dt)=((y+3))/((1-y)) ?
The solution for (dy)/(dt)=((y+3))/((1-y)) is y=-4\W(-1/(4e^{(-t-c_{1))/4}})-3