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Beliebt Rechnen >

y^{'''}-7y^{''}+4y^'+12y=0

Lösung

y^{^{'''}} - 7 y^{^{''}} + 4 y^{^{'}} + 12 y = 0

Lösung

y = c_{1} e^{- t} + c_{2} e^{2 t} + c_{3} e^{6 t}

Schritte zur Lösung

y^{'''} (t) - 7 y^{''} (t) + 4 y^{'} (t) + 12 y = 0

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{2 t} + c_{3} e^{6 t}

y = c_{1} e^{- t} + c_{2} e^{2 t} + c_{3} e^{6 t}

Graph

Beliebte Beispiele

y^{''}+2y^'+y=0,y(0)=5,y^'(0)=-3

y^{^{''}} + 2 y^{^{'}} + y = 0, y (0) = 5, y^{^{'}} (0) = - 3

5y^{''}+2y^'+7y=0

5 y^{^{''}} + 2 y^{^{'}} + 7 y = 0

3y^{''}+8y^'+3y=0

3 y^{^{''}} + 8 y^{^{'}} + 3 y = 0

y^{''''}-y^{''}+4y=0

y^{^{''''}} - y^{^{''}} + 4 y = 0

6y^{''}+17y^'-3y=0

6 y^{^{''}} + 17 y^{^{'}} - 3 y = 0