What is the solution for (dy)/(dx)=0.04-y/7 ?

The solution for (dy)/(dx)=0.04-y/7 is y=-e^{(-x-c_{1})/7}+0.28

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(dy)/(dx)=0.04-y/7

\frac{d y}{d x} = 0.04 - \frac{y}{7}

y = - e^{\frac{- x - c _{1}}{7}} + 0.28

Solution steps

\frac{d y}{d x} = 0.04 - \frac{y}{7}

Solve separable ODE:

y = - e^{\frac{- x - c _{1}}{7}} + 0.28

y = - e^{\frac{- x - c _{1}}{7}} + 0.28

\frac{d y}{d x} = \frac{x + x y ^{2}}{4 y}, y (1) = 0

\frac{d y}{d x} + 6 x^{2} y = 7 x^{2}, y (0) = 2

\frac{2 d y}{d t} + y = 0

y^{^{'}} = y^{2} e^{- t}, y (0) = \frac{1}{2}

\frac{d y}{d x} = \frac{e ^{8 y + x}}{x}, x > 0

What is the solution for (dy)/(dx)=0.04-y/7 ?
The solution for (dy)/(dx)=0.04-y/7 is y=-e^{(-x-c_{1})/7}+0.28