What is the solution for (dy)/(dt)+3y=11,y(0)=1 ?

The solution for (dy)/(dt)+3y=11,y(0)=1 is y=-(8e^{-3t})/3+11/3

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(dy)/(dt)+3y=11,y(0)=1

\frac{d y}{d t} + 3 y = 11, y (0) = 1

y = - \frac{8 e ^{- 3 t}}{3} + \frac{11}{3}

Solution steps

\frac{d y}{d t} + 3 y = 11

Solve separable ODE:

y = - \frac{8 e ^{- 3 t}}{3} + \frac{11}{3}

y = - \frac{8 e ^{- 3 t}}{3} + \frac{11}{3}

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What is the solution for (dy)/(dt)+3y=11,y(0)=1 ?
The solution for (dy)/(dt)+3y=11,y(0)=1 is y=-(8e^{-3t})/3+11/3