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Beliebt Rechnen >

(d^4y)/(dt^4)-y^{'''}-y^{''}+y^'=0

Lösung

\frac{d ^{4} y}{d t ^{4}} - y^{^{'''}} - y^{^{''}} + y^{^{'}} = 0

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

2u^{''}+u^'+3\H(t)=0

2 u^{^{''}} + u^{^{'}} + 3 H (t) = 0

y^{''}+2y^'-10y=0,y(0)=2,y^'(0)=-1

y^{^{''}} + 2 y^{^{'}} - 10 y = 0, y (0) = 2, y^{^{'}} (0) = - 1

2y^{''}-0y^'+18y=0

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

24y^{''}+14y^'-3y=0

24 y^{^{''}} + 14 y^{^{'}} - 3 y = 0

y^{''}+5*y^'+a*y=0,y(0)=1,y^'(0)=7

y^{^{''}} + 5 \cdot y^{^{'}} + a \cdot y = 0, y (0) = 1, y^{^{'}} (0) = 7