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Beliebt Rechnen >

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

Lösung

linear

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

Lösung

y = c_{1} e^{t} + c_{2} t e^{t} + c_{3} e^{- t} + c_{4} t e^{- t}

Schritte zur Lösung

y^{(4)} (t) - 2 y^{''} (t) + y = 0

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t} + c_{3} e^{- t} + c_{4} t e^{- t}

y = c_{1} e^{t} + c_{2} t e^{t} + c_{3} e^{- t} + c_{4} t e^{- t}

Graph

Beliebte Beispiele

y^{'''}-5y^{''}+8y^'-4y=0

y^{^{'''}} - 5 y^{^{''}} + 8 y^{^{'}} - 4 y = 0

y^{''}-2y^'+y=0,y(1)=3,y^'(1)=2

y^{^{''}} - 2 y^{^{'}} + y = 0, y (1) = 3, y^{^{'}} (1) = 2

y^{''}+2y^'+9y=0

y^{^{''}} + 2 y^{^{'}} + 9 y = 0

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

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

2 y^{^{''}} - 3 y + y = 0