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Beliebt Rechnen >

y^{'''}-9y^{''}+18y=0,y(0)=9

Lösung

y^{^{'''}} - 9 y^{^{''}} + 18 y = 0, y (0) = 9

Lösung

y = (9 - c_{2} - c_{3}) e^{- 1.32063 \dots t} + c_{2} e^{1.55489 \dots t} + c_{3} e^{8.76574 \dots t}

Schritte zur Lösung

y^{'''} (t) - 9 y^{''} (t) + 18 y = 0

Solve linear ODE:

y = (9 - c_{2} - c_{3}) e^{- 1.32063 \dots t} + c_{2} e^{1.55489 \dots t} + c_{3} e^{8.76574 \dots t}

y = (9 - c_{2} - c_{3}) e^{- 1.32063 \dots t} + c_{2} e^{1.55489 \dots t} + c_{3} e^{8.76574 \dots t}

Graph

Beliebte Beispiele

y^{''}+ay^'+by=0,y(0)=2cos(3x)

y^{^{''}} + a y^{^{'}} + b y = 0, y (0) = 2 cos (3 x)

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

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

y^{''}+2y^'+ay=0

y^{^{''}} + 2 y^{^{'}} + a y = 0

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

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

y^{''''}+49y^{''}=0

y^{^{''''}} + 49 y^{^{''}} = 0