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}

f (x) = 5 x^{2} - 4 x - 2, at x = 1

t y^{^{'}} + 10 y = \frac{1}{t}

\int 7 \frac{cos ( x ) + sin ( 2 x )}{sin ( x )} d x

1 - e^{- 2 x}

\int \frac{1}{10 x - 7} d x

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