What is the solution for (dy)/(dx)=3-0.04y ?

The solution for (dy)/(dx)=3-0.04y is y=-25e^{(-x-c_{1})/(25)}+75

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(dy)/(dx)=3-0.04y

\frac{d y}{d x} = 3 - 0.04 y

y = - 25 e^{\frac{- x - c _{1}}{25}} + 75

Solution steps

\frac{d y}{d x} = 3 - 0.04 y

Solve separable ODE:

y = - 25 e^{\frac{- x - c _{1}}{25}} + 75

y = - 25 e^{\frac{- x - c _{1}}{25}} + 75

\frac{d y}{d x} = \frac{y cos ( x )}{1 + y ^{2}}, y (0) = 1

\frac{d}{d θ} (y (θ)) + y (θ) = 0

y^{^{'}} = - 3 y, y (0) = e^{- 3 t}, y (0) = 1

\frac{d y}{d x} + ln (x) y = 3 ln (x)

y^{^{'}} = 2 y^{- 2}, y (0) = 3

What is the solution for (dy)/(dx)=3-0.04y ?
The solution for (dy)/(dx)=3-0.04y is y=-25e^{(-x-c_{1})/(25)}+75