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Beliebt Rechnen >

2y^{''}+5y^'+3y=e^{-t}

Lösung

2 y^{^{''}} + 5 y^{^{'}} + 3 y = e^{- t}

Lösung

y = c_{1} e^{- t} + c_{2} e^{- \frac{3 t}{2}} + e^{- t} t

Schritte zur Lösung

2 y^{''} (t) + 5 y^{'} (t) + 3 y = e^{- t}

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{- \frac{3 t}{2}} + e^{- t} t

y = c_{1} e^{- t} + c_{2} e^{- \frac{3 t}{2}} + e^{- t} t

Graph

Beliebte Beispiele

a y^{^{'}} + y = 0

limit as x approaches-infinity of 3e^x

x \to - \infty lim (3 e^{x})

derivative of x^2+i

\frac{d}{d x} (x^{2} + i)

integral of (1+ln(x)+y/x)

\int (1 + ln (x) + \frac{y}{x}) d x

derivative f(x)=e^7+ln(6)

d er i v a t i v e f (x) = e^{7} + ln (6)