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Beliebt Rechnen >

x^{''}+3x^'+x=0

Lösung

x^{^{''}} + 3 x^{^{'}} + x = 0

Lösung

x = c_{1} e^{\frac{( - 3 + 5 ) t}{2}} + c_{2} e^{\frac{( - 3 - 5 ) t}{2}}

Schritte zur Lösung

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

Solve linear ODE:

x = c_{1} e^{\frac{( - 3 + 5 ) t}{2}} + c_{2} e^{\frac{( - 3 - 5 ) t}{2}}

x = c_{1} e^{\frac{( - 3 + 5 ) t}{2}} + c_{2} e^{\frac{( - 3 - 5 ) t}{2}}

Graph

Beliebte Beispiele

y^{''}+16y^'+100y=0

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

y^{''}+2y^'-3y=0,y(0)=-1,y^'(0)=3

y^{''}-9y=0,y(0)=2,y^'(0)=0