What is the solution for (dr)/(dt)=(0.15r)/(0.5)+0.1 ?

The solution for (dr)/(dt)=(0.15r)/(0.5)+0.1 is r=(e^{0.3t+c_{1}})/(0.15)-(0.05)/(0.15)

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(dr)/(dt)=(0.15r)/(0.5)+0.1

\frac{d r}{d t} = \frac{0.15 r}{0.5} + 0.1

r = \frac{e ^{0.3 t + c_{1}}}{0.15} - \frac{0.05}{0.15}

Solution steps

\frac{d r}{d t} = \frac{0.15 r}{0.5} + 0.1

Solve separable ODE:

r = \frac{e ^{0.3 t + c_{1}}}{0.15} - \frac{0.05}{0.15}

r = \frac{e ^{0.3 t + c_{1}}}{0.15} - \frac{0.05}{0.15}

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What is the solution for (dr)/(dt)=(0.15r)/(0.5)+0.1 ?
The solution for (dr)/(dt)=(0.15r)/(0.5)+0.1 is r=(e^{0.3t+c_{1}})/(0.15)-(0.05)/(0.15)