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Beliebt Rechnen >

y^{''}-12y^'-28y=0

Lösung

y^{^{''}} - 12 y^{^{'}} - 28 y = 0

Lösung

y = c_{1} e^{14 t} + c_{2} e^{- 2 t}

Schritte zur Lösung

y^{''} (t) - 12 y^{'} (t) - 28 y = 0

Solve linear ODE:

y = c_{1} e^{14 t} + c_{2} e^{- 2 t}

y = c_{1} e^{14 t} + c_{2} e^{- 2 t}

Graph

Beliebte Beispiele

y^{''''}-9y^{'''}+30y^{''}-44y^'+24y=0

y^{^{''''}} - 9 y^{^{'''}} + 30 y^{^{''}} - 44 y^{^{'}} + 24 y = 0

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

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

6y^{''}+y^'-y=0,y(0)=e^{x/3}

6 y^{^{''}} + y^{^{'}} - y = 0, y (0) = e^{\frac{x}{3}}

2y^{''}-3y^'-2y=0

2 y^{^{''}} - 3 y^{^{'}} - 2 y = 0

y^{''}-4y^'+6y=0

y^{^{''}} - 4 y^{^{'}} + 6 y = 0