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Beliebt Rechnen >

-2y^{'''}-4y^{''}+10y^'+12y=0

Lösung

- 2 y^{^{'''}} - 4 y^{^{''}} + 10 y^{^{'}} + 12 y = 0

Lösung

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

Schritte zur Lösung

- 2 y^{'''} (t) - 4 y^{''} (t) + 10 y^{'} (t) + 12 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-6y^'-216y=0

y^{^{''}} - 6 y^{^{'}} - 216 y = 0

u^{''}+7\H(t)=0,\H(0)=0,u^'(0)=7

u^{^{''}} + 7 H (t) = 0, H (0) = 0, u^{^{'}} (0) = 7

y^{''}+4y^'+13y^'=0

y^{^{''}} + 4 y^{^{'}} + 13 y^{^{'}} = 0

y^{''}-5y^'-2a^2y=0

y^{^{''}} - 5 y^{^{'}} - 2 a^{2} y = 0

y^{''}+36y=0,y(0)=4,y^'(0)=-4

y^{^{''}} + 36 y = 0, y (0) = 4, y^{^{'}} (0) = - 4