What is the solution for (dy)/(dt)=0.28-((7y))/(1000) ?

The solution for (dy)/(dt)=0.28-((7y))/(1000) is y=-e^{(-7t-c_{1})/(1000)}+40

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(dy)/(dt)=0.28-((7y))/(1000)

\frac{d y}{d t} = 0.28 - \frac{( 7 y )}{1000}

y = - e^{\frac{- 7 t - c _{1}}{1000}} + 40

Solution steps

\frac{d y}{d t} = 0.28 - \frac{( 7 y )}{1000}

Solve separable ODE:

y = - e^{\frac{- 7 t - c _{1}}{1000}} + 40

y = - e^{\frac{- 7 t - c _{1}}{1000}} + 40

\frac{d}{d x} (\frac{x ^{3}}{x ^{4} + 1})

\int \frac{( 2 - x ) ^{3}}{3} d x

sin (x + \frac{5}{2})

\frac{d y}{d x} = \frac{4}{x ^{2} - 1}

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

What is the solution for (dy)/(dt)=0.28-((7y))/(1000) ?
The solution for (dy)/(dt)=0.28-((7y))/(1000) is y=-e^{(-7t-c_{1})/(1000)}+40