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Popular Calculus >

(dy)/(dt)+ay=b

Solution

\frac{d y}{d t} + a y = b

Solution

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

Solution steps

\frac{d y}{d t} + a y = b

Solve separable ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

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