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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} t + e^{- t} (c_{3} cos (t) + c_{4} sin (t))

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} t + e^{- t} (c_{3} cos (t) + c_{4} sin (t))

y = c_{1} + c_{2} t + e^{- t} (c_{3} cos (t) + c_{4} sin (t))

Graph

Beliebte Beispiele

9y^{''}+6y^'+82y=0,y(0)=2

9 y^{^{''}} + 6 y^{^{'}} + 82 y = 0, y (0) = 2

x^{'''}-4x^{''}-3x^'+18x=0

x^{^{'''}} - 4 x^{^{''}} - 3 x^{^{'}} + 18 x = 0

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

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

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

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

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

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