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Beliebt Rechnen >

y^{''''}-7y^{'''}-49y^{''}+343y^'=0

Lösung

y^{^{''''}} - 7 y^{^{'''}} - 49 y^{^{''}} + 343 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- 7 t} + c_{3} e^{7 t} + c_{4} t e^{7 t}

Schritte zur Lösung

y^{(4)} (t) - 7 y^{'''} (t) - 49 y^{''} (t) + 343 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- 7 t} + c_{3} e^{7 t} + c_{4} t e^{7 t}

y = c_{1} + c_{2} e^{- 7 t} + c_{3} e^{7 t} + c_{4} t e^{7 t}

Graph

Beliebte Beispiele

y^{''}+18y^'+82y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 18 y^{^{'}} + 82 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y^{''''}-6y^{'''}+13y^{''}-12y^'+4y=0

y^{^{''''}} - 6 y^{^{'''}} + 13 y^{^{''}} - 12 y^{^{'}} + 4 y = 0

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

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

7y^{''}-56y^'+112y=0

7 y^{^{''}} - 56 y^{^{'}} + 112 y = 0

y^{''}-5y^'+2y=0

y^{^{''}} - 5 y^{^{'}} + 2 y = 0