What is the solution for (dy)/(dt)=2100-300(y/(17000)) ?

The solution for (dy)/(dt)=2100-300(y/(17000)) is y=-(e^{(-3t-c_{1})/(170)})/3+119000

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(dy)/(dt)=2100-300(y/(17000))

\frac{d y}{d t} = 2100 - 300 (\frac{y}{17000})

y = - \frac{e ^{\frac{- 3 t - c _{1}}{170}}}{3} + 119000

Solution steps

\frac{d y}{d t} = 2100 - 300 (\frac{y}{17000})

Solve separable ODE:

y = - \frac{e ^{\frac{- 3 t - c _{1}}{170}}}{3} + 119000

y = - \frac{e ^{\frac{- 3 t - c _{1}}{170}}}{3} + 119000

\int \frac{5}{x ^{6}} d x

\frac{d}{d x} (ln ((x + 3)^{- 1}))

x \to 0 lim (\frac{x ^{2} + 2 x - 1}{x})

1 - x^{2}

x \to \infty lim (9^{- x})

What is the solution for (dy)/(dt)=2100-300(y/(17000)) ?
The solution for (dy)/(dt)=2100-300(y/(17000)) is y=-(e^{(-3t-c_{1})/(170)})/3+119000