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Beliebt Rechnen >

y^{'''}+2y^{''}-7y^'+4y=0

Lösung

y^{^{'''}} + 2 y^{^{''}} - 7 y^{^{'}} + 4 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 2 y^{''} (t) - 7 y^{'} (t) + 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-8y^'-12y=0

y^{^{''}} - 8 y^{^{'}} - 12 y = 0

y^{''''}+2y^{'''}+10y^{''}+18y^'+9y=0

y^{^{''''}} + 2 y^{^{'''}} + 10 y^{^{''}} + 18 y^{^{'}} + 9 y = 0

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

y^{''}-2y^'+2y=0,y(pi)=e^pi,y^'(pi)=0

y^{^{''}} - 2 y^{^{'}} + 2 y = 0, y (π) = e^{π}, y^{^{'}} (π) = 0

y^{'''}-9y^{''}+23y^'-15y=0

y^{^{'''}} - 9 y^{^{''}} + 23 y^{^{'}} - 15 y = 0