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Beliebt Rechnen >

7x^{''}+3x^{''}+7x=0,x(0)=-4,x^'(0)=0

Lösung

7 x^{^{''}} + 3 x^{^{''}} + 7 x = 0, x (0) = - 4, x^{^{'}} (0) = 0

Lösung

x = - 4 cos (\frac{7}{10} t)

Schritte zur Lösung

7 x^{''} (t) + 3 x^{''} (t) + 7 x = 0

Solve linear ODE:

x = - 4 cos (\frac{7}{10} t)

x = - 4 cos (\frac{7}{10} t)

Graph

Beliebte Beispiele

y^{'''}+y^{''}-56y^'=0

y^{^{'''}} + y^{^{''}} - 56 y^{^{'}} = 0

18y^{''}+(45-2sqrt(7))y^'-5sqrt(7)y=0

18 y^{^{''}} + (45 - 27) y^{^{'}} - 57 y = 0

y^{''}-10y+24y=0

y^{^{''}} - 10 y + 24 y = 0

y^{''''}-20y^{'''}+100y^{''}=0

y^{^{''''}} - 20 y^{^{'''}} + 100 y^{^{''}} = 0

81y^{''}-9y=0,y(0)=0,y^'(0)=0

81 y^{^{''}} - 9 y = 0, y (0) = 0, y^{^{'}} (0) = 0