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Popular >

(dy)/(dt)+ay+b=0

Solution

\frac{d y}{d t} + a y + b = 0

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

sum from n=0 to infinity of (9/10)^n

n = 0 \sum \infty (\frac{9}{10})^{n}

integral of (sqrt(1-\sqrt{w)})/(sqrt(w))

\int \frac{1 - w}{w} d w

integral of-e^{-x}

\int - e^{- x} d x

integral of x\sqrt[3]{x+10}

integral of (x^4)/(x^2-1)

\int \frac{x ^{4}}{x ^{2} - 1} d x

Frequently Asked Questions (FAQ)

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