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Beliebt Rechnen >

3y^{'''}-12y^'-4y^{''}+y^{''''}=0

Lösung

3 y^{^{'''}} - 12 y^{^{'}} - 4 y^{^{''}} + y^{^{''''}} = 0

Lösung

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

Schritte zur Lösung

3 y^{'''} (t) - 12 y^{'} (t) - 4 y^{''} (t) + y^{(4)} (t) = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

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

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

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

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

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

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

y^{''}-4y^'+4y=0,y(0)=1,y^'(0)=5

y^{^{''}} - 4 y^{^{'}} + 4 y = 0, y (0) = 1, y^{^{'}} (0) = 5