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}

\frac{d y}{d x} y = u^{2} + 2 u, u = \frac{1}{x ^{2}}

d x + sin (y) x d y - sin (y) d y = 0

f^{^{'}} (x) = - 10 f (x)

\frac{d}{d x} ((f (x)) f (x)) = cos (2 x)

\frac{x d x}{( 1 + x )} = \frac{d y}{y ^{3}}

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)