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Beliebt Rechnen >

(D^3-2D^2-D+2)y=0

Lösung

(D^{3} - 2 D^{2} - D + 2) y = 0

Lösung

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

Schritte zur Lösung

(D^{3} - 2 D^{2} - D + 2) y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{'''}+9y^{''}+20y^'=0

y^{^{'''}} + 9 y^{^{''}} + 20 y^{^{'}} = 0

y^{''}+8y^'+4y=0,y(0)=0,y^'(0)=1

y^{^{''}} + 8 y^{^{'}} + 4 y = 0, y (0) = 0, y^{^{'}} (0) = 1

y^{'''}-2y^'-13y^'-10y=0

y^{^{'''}} - 2 y^{^{'}} - 13 y^{^{'}} - 10 y = 0

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

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