What is the solution for (dy)/(dt)=0.06y+3000,y(0)=70000 ?

The solution for (dy)/(dt)=0.06y+3000,y(0)=70000 is y=(e^{0.06t+8.88183…})/(0.06)-(3000)/(0.06)

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(dy)/(dt)=0.06y+3000,y(0)=70000

\frac{d y}{d t} = 0.06 y + 3000, y (0) = 70000

y = \frac{e ^{0.06 t + 8.88183 \dots}}{0.06} - \frac{3000}{0.06}

Solution steps

\frac{d y}{d t} = 0.06 y + 3000

Solve separable ODE:

y = \frac{e ^{0.06 t + 8.88183 \dots}}{0.06} - \frac{3000}{0.06}

y = \frac{e ^{0.06 t + 8.88183 \dots}}{0.06} - \frac{3000}{0.06}

What is the solution for (dy)/(dt)=0.06y+3000,y(0)=70000 ?
The solution for (dy)/(dt)=0.06y+3000,y(0)=70000 is y=(e^{0.06t+8.88183…})/(0.06)-(3000)/(0.06)