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

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

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

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

(d^2y)/(dx^2)-4(dy)/(dx)+5y=0

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 5 y = 0

y^{'''}-4y^{''}+3y^'=0

y^{^{'''}} - 4 y^{^{''}} + 3 y^{^{'}} = 0

y^{''}-y^'-56y=0,y(0)=-5,y^'(0)=5

y^{^{''}} - y^{^{'}} - 56 y = 0, y (0) = - 5, y^{^{'}} (0) = 5