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Beliebt Rechnen >

y^{''}+8y^'+4y=0,y(0)=0

Lösung

y^{^{''}} + 8 y^{^{'}} + 4 y = 0, y (0) = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) + 8 y^{'} (t) + 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

16y^{''}+56y^'+49y=0,y(0)=5

16 y^{^{''}} + 56 y^{^{'}} + 49 y = 0, y (0) = 5

81y^{''''}-625y=0

81 y^{^{''''}} - 625 y = 0

(d^{6} - 1) y = 0

y^{''}+16y=0,y(0)=0,y(1)=1

y^{^{''}} + 16 y = 0, y (0) = 0, y (1) = 1

12y^{''}+64y=0,y(0)=4,y^'(0)=7

12 y^{^{''}} + 64 y = 0, y (0) = 4, y^{^{'}} (0) = 7