What is the solution for (dy)/(dt)=0.06y-4000 ?

The solution for (dy)/(dt)=0.06y-4000 is y=(e^{0.06t+c_{1}})/(0.06)+(4000)/(0.06)

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(dy)/(dt)=0.06y-4000

\frac{d y}{d t} = 0.06 y - 4000

y = \frac{e ^{0.06 t + c_{1}}}{0.06} + \frac{4000}{0.06}

Solution steps

\frac{d y}{d t} = 0.06 y - 4000

Solve separable ODE:

y = \frac{e ^{0.06 t + c_{1}}}{0.06} + \frac{4000}{0.06}

y = \frac{e ^{0.06 t + c_{1}}}{0.06} + \frac{4000}{0.06}

5 x^{2} + 2 x - 3

y^{^{'}} = \frac{x ^{2} \cdot e ^{(\frac{y}{x})} + y ^{2}}{x \cdot y}

x \to 2 lim (x^{2} - 4 x + 4)

y^{^{''}} + 10 y^{^{'}} + 25 y = 0, y (1) = 0, y^{^{'}} (1) = 1

x \to 1 lim (- 1.6 x + 0.6)

What is the solution for (dy)/(dt)=0.06y-4000 ?
The solution for (dy)/(dt)=0.06y-4000 is y=(e^{0.06t+c_{1}})/(0.06)+(4000)/(0.06)