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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{(4)} (t) - 3 y^{''} (t) + 2 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y=0,y(0)=0,y^'(0)=7

y^{^{''}} - y = 0, y (0) = 0, y^{^{'}} (0) = 7

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

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

2y^{''}+12y^'+8y=0

2 y^{^{''}} + 12 y^{^{'}} + 8 y = 0

y^{''}-4y^'-5y=0,y(0)=-5,y^'(0)=31

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (0) = - 5, y^{^{'}} (0) = 31

y^{''}+6y^'-2y=0

y^{^{''}} + 6 y^{^{'}} - 2 y = 0