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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

x^{''} (t) + 4 x^{'} (t) + 3 x = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-8y^'-105y=0

y^{^{''}} - 8 y^{^{'}} - 105 y = 0

(d^2x)/(dt^2)+(dx)/(dt)+x=0

\frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} + x = 0

y^{''''}-2y^{'''}-6y^{''}=0

y^{^{''''}} - 2 y^{^{'''}} - 6 y^{^{''}} = 0

y^{''}-y^'-12y=0,y(0)=5,y^'(0)=-1

y^{^{''}} - y^{^{'}} - 12 y = 0, y (0) = 5, y^{^{'}} (0) = - 1

x^{''}+5x^{''}+6x=0

x^{^{''}} + 5 x^{^{''}} + 6 x = 0