What is the solution for (dy)/(dx)=9-(3y)/(250) ?

The solution for (dy)/(dx)=9-(3y)/(250) is y=-(e^{(-3x-c_{1})/(250)})/3+750

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(dy)/(dx)=9-(3y)/(250)

\frac{d y}{d x} = 9 - \frac{3 y}{250}

y = - \frac{e ^{\frac{- 3 x - c _{1}}{250}}}{3} + 750

Solution steps

\frac{d y}{d x} = 9 - \frac{3 y}{250}

Solve separable ODE:

y = - \frac{e ^{\frac{- 3 x - c _{1}}{250}}}{3} + 750

y = - \frac{e ^{\frac{- 3 x - c _{1}}{250}}}{3} + 750

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What is the solution for (dy)/(dx)=9-(3y)/(250) ?
The solution for (dy)/(dx)=9-(3y)/(250) is y=-(e^{(-3x-c_{1})/(250)})/3+750