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Beliebt Rechnen >

x^{''}+a*x^'=0

Lösung

x^{^{''}} + a \cdot x^{^{'}} = 0

Lösung

x = c_{1} + c_{2} e^{- a t}

Schritte zur Lösung

x^{''} (t) + a \cdot x^{'} (t) = 0

Solve linear ODE:

x = c_{1} + c_{2} e^{- a t}

x = c_{1} + c_{2} e^{- a t}

Graph

Beliebte Beispiele

y^{'''}+y^{''}-5y^'+3y=0

y^{^{'''}} + y^{^{''}} - 5 y^{^{'}} + 3 y = 0

y^{'''}-5y^{''}+9y^'-5y=0

y^{^{'''}} - 5 y^{^{''}} + 9 y^{^{'}} - 5 y = 0

y^{''}-8y^'+16y=0,y(0)=-4,y^'(0)=-71/5

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (0) = - 4, y^{^{'}} (0) = - \frac{71}{5}

25y^{''}+10y^'+1y=0

25 y^{^{''}} + 10 y^{^{'}} + 1 y = 0

3y^{''}-13y^'+14y=0

3 y^{^{''}} - 13 y^{^{'}} + 14 y = 0