What is the solution for (dy)/(dt)+20y=2,4= 6/5-6/5 e^{-20t} ?

The solution for (dy)/(dt)+20y=2,4= 6/5-6/5 e^{-20t} is y=-(e^{-20t-c_{1}})/(10)+1/10

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(dy)/(dt)+20y=2,4= 6/5-6/5 e^{-20t}

\frac{d y}{d t} + 20 y = 2, 4 = \frac{6}{5} - \frac{6}{5} e^{- 20 t}

y = - \frac{e ^{- 20 t - c_{1}}}{10} + \frac{1}{10}

Solution steps

\frac{d y}{d t} + 20 y = 2

Solve separable ODE:

y = - \frac{e ^{- 20 t - c_{1}}}{10} + \frac{1}{10}

y = - \frac{e ^{- 20 t - c_{1}}}{10} + \frac{1}{10}

What is the solution for (dy)/(dt)+20y=2,4= 6/5-6/5 e^{-20t} ?
The solution for (dy)/(dt)+20y=2,4= 6/5-6/5 e^{-20t} is y=-(e^{-20t-c_{1}})/(10)+1/10