What is the solution for (dy)/(dx)=3-0.0003y ?

The solution for (dy)/(dx)=3-0.0003y is y=-(e^{-0.0003x-c_{1}})/(0.0003)+3/(0.0003)

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(dy)/(dx)=3-0.0003y

\frac{d y}{d x} = 3 - 0.0003 y

y = - \frac{e ^{- 0.0003 x - c_{1}}}{0.0003} + \frac{3}{0.0003}

Solution steps

\frac{d y}{d x} = 3 - 0.0003 y

Solve separable ODE:

y = - \frac{e ^{- 0.0003 x - c_{1}}}{0.0003} + \frac{3}{0.0003}

y = - \frac{e ^{- 0.0003 x - c_{1}}}{0.0003} + \frac{3}{0.0003}

\frac{d}{d x} (3 x^{2} - 6 x + 5)

\int (\frac{1}{y} - 1) d y

y^{^{''}} + 4 y^{^{'}} + 6 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y^{^{'}} = x + y, y (0) = 9

\frac{d}{d x} (x + 1 - tan (\frac{x}{4}))

What is the solution for (dy)/(dx)=3-0.0003y ?
The solution for (dy)/(dx)=3-0.0003y is y=-(e^{-0.0003x-c_{1}})/(0.0003)+3/(0.0003)