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Beliebt Rechnen >

y^'=-ay+by

Lösung

y^{^{'}} = - a \cdot y + b \cdot y

Lösung

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

Schritte zur Lösung

y^{'} (t) = - a \cdot y + b \cdot y

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

integral of (5^x)

\int (5^{x}) d x

derivative of arcsinh(sqrt(x))

\frac{d}{d x} (arcsinh (x))

derivative x^4-3x

d er i v a t i v e x^{4} - 3 x

limit as x approaches-0.1 of (e^x-1)/x

x \to - 0.1 lim (\frac{e ^{x} - 1}{x})

(dx)/(dt)=7xt^4

\frac{d x}{d t} = 7 x t^{4}