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Beliebt Rechnen >

x^{''}+0/(1/32)x^'+(13)/(1/32)x=0

Lösung

x^{^{''}} + \frac{0}{\frac{1}{32}} x^{^{'}} + \frac{13}{\frac{1}{32}} x = 0

Lösung

x = c_{1} cos (426 t) + c_{2} sin (426 t)

Schritte zur Lösung

x^{''} (t) + \frac{0}{\frac{1}{32}} x^{'} (t) + \frac{13}{\frac{1}{32}} x = 0

Solve linear ODE:

x = c_{1} cos (426 t) + c_{2} sin (426 t)

x = c_{1} cos (426 t) + c_{2} sin (426 t)

Graph

Beliebte Beispiele

y^{''}+4y^'+20y=0,y(pi)=5,y(0)=6

y^{^{''}} + 4 y^{^{'}} + 20 y = 0, y (π) = 5, y (0) = 6

(D^3-4D^2+3D)y=0

(D^{3} - 4 D^{2} + 3 D) y = 0

1.5y^{''}+12y^'+24y=0

1.5 y^{^{''}} + 12 y^{^{'}} + 24 y = 0

y^{''}-7y^'+12y=0,y^0=0,y^'=3

y^{^{''}} - 7 y^{^{'}} + 12 y = 0, y^{0} = 0, y^{^{'}} = 3

49y^{''}+140y^'+136y=0,y(0)=7,y^'(0)=6

49 y^{^{''}} + 140 y^{^{'}} + 136 y = 0, y (0) = 7, y^{^{'}} (0) = 6