What is the solution for (dy)/(dx)=15-(3y)/(350) ?

The solution for (dy)/(dx)=15-(3y)/(350) is y=-(e^{(-3x-c_{1})/(350)})/3+1750

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(dy)/(dx)=15-(3y)/(350)

\frac{d y}{d x} = 15 - \frac{3 y}{350}

y = - \frac{e ^{\frac{- 3 x - c _{1}}{350}}}{3} + 1750

Solution steps

\frac{d y}{d x} = 15 - \frac{3 y}{350}

Solve separable ODE:

y = - \frac{e ^{\frac{- 3 x - c _{1}}{350}}}{3} + 1750

y = - \frac{e ^{\frac{- 3 x - c _{1}}{350}}}{3} + 1750

\frac{d}{d x} (\frac{a x + b}{c x + k})

ln (s)

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

f (x) = e^{3 x^{2}}

What is the solution for (dy)/(dx)=15-(3y)/(350) ?
The solution for (dy)/(dx)=15-(3y)/(350) is y=-(e^{(-3x-c_{1})/(350)})/3+1750