What is the solution for (dy)/(dt)=0.17y+200 ?

The solution for (dy)/(dt)=0.17y+200 is y=(e^{0.17t+c_{1}})/(0.17)-(200)/(0.17)

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(dy)/(dt)=0.17y+200

\frac{d y}{d t} = 0.17 y + 200

y = \frac{e ^{0.17 t + c_{1}}}{0.17} - \frac{200}{0.17}

Solution steps

\frac{d y}{d t} = 0.17 y + 200

Solve separable ODE:

y = \frac{e ^{0.17 t + c_{1}}}{0.17} - \frac{200}{0.17}

y = \frac{e ^{0.17 t + c_{1}}}{0.17} - \frac{200}{0.17}

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What is the solution for (dy)/(dt)=0.17y+200 ?
The solution for (dy)/(dt)=0.17y+200 is y=(e^{0.17t+c_{1}})/(0.17)-(200)/(0.17)