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Beliebt Rechnen >

y^{'''}+4y^{''}-11y^'+6y=0

Lösung

y^{^{'''}} + 4 y^{^{''}} - 11 y^{^{'}} + 6 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 4 y^{''} (t) - 11 y^{'} (t) + 6 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

3y^{''}-4y^'+7y=0

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

y^{''}+y^'-2y=0,y(0)=e^t

y^{^{''}} + y^{^{'}} - 2 y = 0, y (0) = e^{t}

y^{''}+8y^'+16y=0,y(0)=1,y^'(0)=-2

y^{^{''}} + 8 y^{^{'}} + 16 y = 0, y (0) = 1, y^{^{'}} (0) = - 2

y^{''}+16y^'+ay=0,y(0)=1,y^'(0)=-12

y^{^{''}} + 16 y^{^{'}} + a y = 0, y (0) = 1, y^{^{'}} (0) = - 12

y^{''}+3y^'+7y=0

y^{^{''}} + 3 y^{^{'}} + 7 y = 0