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

Lösung

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

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

Schritte zur Lösung

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

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}}

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