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Beliebt Rechnen >

y^'+y=e^{(-t)}

Lösung

y^{^{'}} + y = e^{(- t)}

Lösung

y = \frac{t}{e ^{t}} + \frac{c _{1}}{e ^{t}}

Schritte zur Lösung

y^{'} (t) + y = e^{(- t)}

Solve linear ODE:

y = \frac{t}{e ^{t}} + \frac{c _{1}}{e ^{t}}

y = \frac{t}{e ^{t}} + \frac{c _{1}}{e ^{t}}

Graph

Beliebte Beispiele

integral of 1/((x+3)(x-3))

\int \frac{1}{( x + 3 ) ( x - 3 )} d x

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\frac{d}{d x} (x - 3 sin (x))

integral of (e^u)/((4-e^u)^2)

\int \frac{e ^{u}}{( 4 - e ^{u} ) ^{2}} d u

(dy)/(dx)=y^2e^{-x}

\frac{d y}{d x} = y^{2} e^{- x}

integral of x*x^{20}

\int x \cdot x^{20} d x