What is the solution for (dv)/(dt)=v^2+5v+6 ?

The solution for (dv)/(dt)=v^2+5v+6 is v=(3e^{t+c_{1}})/(1-e^{t+c_{1)}}-2/(1-e^{t+c_{1)}}

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(dv)/(dt)=v^2+5v+6

\frac{d v}{d t} = v^{2} + 5 v + 6

v = \frac{3 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}} - \frac{2}{1 - e ^{t + c_{1}}}

Solution steps

\frac{d v}{d t} = v^{2} + 5 v + 6

Solve separable ODE:

v = \frac{3 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}} - \frac{2}{1 - e ^{t + c_{1}}}

v = \frac{3 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}} - \frac{2}{1 - e ^{t + c_{1}}}

f (x) = x \cdot ln (x) - x

x \to 0 lim (x^{- 1} - 1)

y = 8 x - x^{2}, y = 0

a sin (t)

\int sin (\frac{nπ x}{2}) d x

What is the solution for (dv)/(dt)=v^2+5v+6 ?
The solution for (dv)/(dt)=v^2+5v+6 is v=(3e^{t+c_{1}})/(1-e^{t+c_{1)}}-2/(1-e^{t+c_{1)}}