What is the solution for (dy)/(dx)=15-(3y)/(290) ?

The solution for (dy)/(dx)=15-(3y)/(290) is y=-(e^{(-3x-c_{1})/(290)})/3+1450

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(dy)/(dx)=15-(3y)/(290)

\frac{d y}{d x} = 15 - \frac{3 y}{290}

y = - \frac{e ^{\frac{- 3 x - c _{1}}{290}}}{3} + 1450

Solution steps

\frac{d y}{d x} = 15 - \frac{3 y}{290}

Solve separable ODE:

y = - \frac{e ^{\frac{- 3 x - c _{1}}{290}}}{3} + 1450

y = - \frac{e ^{\frac{- 3 x - c _{1}}{290}}}{3} + 1450

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What is the solution for (dy)/(dx)=15-(3y)/(290) ?
The solution for (dy)/(dx)=15-(3y)/(290) is y=-(e^{(-3x-c_{1})/(290)})/3+1450