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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d}{d θ} (r (θ)) r (θ) = (4 + sec (θ)) sin (θ)

\frac{d x}{d t} = 6 x

y^{^{'}} = x - 4 x y

\frac{d y}{d x} y = arccos (5 x^{5})

\frac{d x}{d t} = \frac{3}{x e ^{t + 7 x}}

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