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Beliebt Rechnen >

y^{''}+5y^'+6y=1+e^{-t}

Lösung

y^{^{''}} + 5 y^{^{'}} + 6 y = 1 + e^{- t}

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} + \frac{1}{6} + \frac{1}{2} e^{- t}

Schritte zur Lösung

y^{''} (t) + 5 y^{'} (t) + 6 y = 1 + e^{- t}

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} + \frac{1}{6} + \frac{1}{2} e^{- t}

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} + \frac{1}{6} + \frac{1}{2} e^{- t}

Graph

Beliebte Beispiele

y^{''}+2y^'-8=0

y^{^{''}} + 2 y^{^{'}} - 8 = 0

0.5q^{''}+20q^'+1/(0.0025)q=100

0.5 q^{^{''}} + 20 q^{^{'}} + \frac{1}{0.0025} q = 100

x^{''}+16x=14cos(3t)

x^{^{''}} + 16 x = 14 cos (3 t)

y^{''}-2y^'+y=t*e^t

y^{^{''}} - 2 y^{^{'}} + y = t \cdot e^{t}

y^{''}+y^'=x^2e^x

y^{^{''}} + y^{^{'}} = x^{2} e^{x}