What is the solution for (dy)/(dx)+ay-b=0 ?

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

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(dy)/(dx)+ay-b=0

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{1}{( s ^{2} + 6 s + 25 )}

\int 4 sin (t) d t

\int \frac{2}{7 e ^{x} + 4} d x

y^{^{''}} + 9 y = t^{2} e^{3 t} + 6

\frac{\partial}{\partial y} (x y sin (z))

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