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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+y=0,y(pi/3)=6,y^'(pi/3)=-12

y^{^{''}} + y = 0, y (\frac{π}{3}) = 6, y^{^{'}} (\frac{π}{3}) = - 12

y^{''''}-18y^{'''}+81y^{''}=0

y^{^{''''}} - 18 y^{^{'''}} + 81 y^{^{''}} = 0

y^{''}-8y^'-33y=0

y^{^{''}} - 8 y^{^{'}} - 33 y = 0

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

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

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

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