What is the solution for (dy)/(dt)=5-7/400 y ?

The solution for (dy)/(dt)=5-7/400 y is y=-(e^{(-7t-c_{1})/(400)})/7+2000/7

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(dy)/(dt)=5-7/400 y

\frac{d y}{d t} = 5 - \frac{7}{400} y

y = - \frac{e ^{\frac{- 7 t - c _{1}}{400}}}{7} + \frac{2000}{7}

Solution steps

\frac{d y}{d t} = 5 - \frac{7}{400} y

Solve separable ODE:

y = - \frac{e ^{\frac{- 7 t - c _{1}}{400}}}{7} + \frac{2000}{7}

y = - \frac{e ^{\frac{- 7 t - c _{1}}{400}}}{7} + \frac{2000}{7}

What is the solution for (dy)/(dt)=5-7/400 y ?
The solution for (dy)/(dt)=5-7/400 y is y=-(e^{(-7t-c_{1})/(400)})/7+2000/7