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Beliebt Rechnen >

x^{''}+2x^'+50x=0,x(0)=-3/2 ,x^'(0)=-2

Lösung

x^{^{''}} + 2 x^{^{'}} + 50 x = 0, x (0) = - \frac{3}{2}, x^{^{'}} (0) = - 2

Lösung

x = e^{- t} (- \frac{3}{2} cos (7 t) - \frac{1}{2} sin (7 t))

Schritte zur Lösung

x^{''} (t) + 2 x^{'} (t) + 50 x = 0

Solve linear ODE:

x = e^{- t} (- \frac{3}{2} cos (7 t) - \frac{1}{2} sin (7 t))

x = e^{- t} (- \frac{3}{2} cos (7 t) - \frac{1}{2} sin (7 t))

Graph

Beliebte Beispiele

49y^{''}-y=0,y(0)=0,y^'(0)=1

49 y^{^{''}} - y = 0, y (0) = 0, y^{^{'}} (0) = 1

x^{^{''}} - c x = 0

800x^{''}+80x^'-3x=0

800 x^{^{''}} + 80 x^{^{'}} - 3 x = 0

y^{''}+4y^'+29y=0,y(0)=4,y^'(0)=-7

y^{^{''}} + 4 y^{^{'}} + 29 y = 0, y (0) = 4, y^{^{'}} (0) = - 7

y^{''}+4y^'+29y=0,y(0)=4,y^'(0)=-5

y^{^{''}} + 4 y^{^{'}} + 29 y = 0, y (0) = 4, y^{^{'}} (0) = - 5