What is the solution for (dy)/(dx)+by-a=0 ?

The solution for (dy)/(dx)+by-a=0 is y=-(e^{-bx-c_{1}b})/b+a/b

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(dy)/(dx)+by-a=0

\frac{d y}{d x} + b y - a = 0

y = - \frac{e ^{- b x - c_{1} b}}{b} + \frac{a}{b}

Solution steps

\frac{d y}{d x} + b y - a = 0

Solve separable ODE:

y = - \frac{e ^{- b x - c_{1} b}}{b} + \frac{a}{b}

y = - \frac{e ^{- b x - c_{1} b}}{b} + \frac{a}{b}

What is the solution for (dy)/(dx)+by-a=0 ?
The solution for (dy)/(dx)+by-a=0 is y=-(e^{-bx-c_{1}b})/b+a/b