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Beliebt Rechnen >

y^'+8y=1,y(0)=1

Lösung

y^{^{'}} + 8 y = 1, y (0) = 1

Lösung

y = \frac{1}{8} + \frac{7}{8 e ^{8 t}}

Schritte zur Lösung

y^{'} (t) + 8 y = 1

Solve linear ODE:

y = \frac{1}{8} + \frac{7}{8 e ^{8 t}}

y = \frac{1}{8} + \frac{7}{8 e ^{8 t}}

Graph

Beliebte Beispiele

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\frac{d}{d x} (\frac{x - 5}{4 x ^{2} e ^{x}})

limit as x approaches 0 of x^4cos(1/x)

x \to 0 lim (x^{4} cos (\frac{1}{x}))

(e^{- 2 t})^{^{'}}

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\int \frac{- 6 x ^{4} + 6}{x ^{2} + 1} d x

integral of 1/(e^{10x)}

\int \frac{1}{e ^{10 x}} d x