What is the solution for (dQ)/(dt)=3-(3Q)/(1000) ?

The solution for (dQ)/(dt)=3-(3Q)/(1000) is Q=-(e^{(-3t-c_{1})/(1000)})/3+1000

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(dQ)/(dt)=3-(3Q)/(1000)

\frac{d Q}{d t} = 3 - \frac{3 Q}{1000}

Q = - \frac{e ^{\frac{- 3 t - c _{1}}{1000}}}{3} + 1000

Solution steps

\frac{d Q}{d t} = 3 - \frac{3 Q}{1000}

Solve separable ODE:

Q = - \frac{e ^{\frac{- 3 t - c _{1}}{1000}}}{3} + 1000

Q = - \frac{e ^{\frac{- 3 t - c _{1}}{1000}}}{3} + 1000

f (x) = 4^{s i n^{2} (x) + c o s (3 x)}

x \to - 1 lim (∣ x ∣ - x)

y = π x

(2 x + 5) y^{^{'}} + 10 y = 10 (2 x + 5)

n = 0 \sum \infty \frac{3}{5 ^{n}}

What is the solution for (dQ)/(dt)=3-(3Q)/(1000) ?
The solution for (dQ)/(dt)=3-(3Q)/(1000) is Q=-(e^{(-3t-c_{1})/(1000)})/3+1000