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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{(- 2 + - k + 4) t} + c_{2} e^{(- - k + 4 - 2) t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{(- 2 + - k + 4) t} + c_{2} e^{(- - k + 4 - 2) t}

y = c_{1} e^{(- 2 + - k + 4) t} + c_{2} e^{(- - k + 4 - 2) t}

Graph

Beliebte Beispiele

y^{''}+4y=0,y(0)=6,y^'(0)=-6

y^{^{''}} + 4 y = 0, y (0) = 6, y^{^{'}} (0) = - 6

y^{''}+7y^'+20y=0

y^{^{''}} + 7 y^{^{'}} + 20 y = 0

2y^{''}+14y^'+12y=0,y(0)=1,y^'(0)=0

2 y^{^{''}} + 14 y^{^{'}} + 12 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y^{''}+4y^'-8y=0

y^{^{''}} + 4 y^{^{'}} - 8 y = 0

y^{''}+5y^'=0,y(0)=9,y^'(0)=-20

y^{^{''}} + 5 y^{^{'}} = 0, y (0) = 9, y^{^{'}} (0) = - 20