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Beliebt Rechnen >

y^{'''}+2y^{''}-10y^'+4y=0

Lösung

y^{^{'''}} + 2 y^{^{''}} - 10 y^{^{'}} + 4 y = 0

Lösung

y = c_{1} e^{2 t} + c_{2} e^{(- 2 + 6) t} + c_{3} e^{(- 2 - 6) t}

Schritte zur Lösung

y^{'''} (t) + 2 y^{''} (t) - 10 y^{'} (t) + 4 y = 0

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{(- 2 + 6) t} + c_{3} e^{(- 2 - 6) t}

y = c_{1} e^{2 t} + c_{2} e^{(- 2 + 6) t} + c_{3} e^{(- 2 - 6) t}

Graph

Beliebte Beispiele

y^{''}-3y^'-18y=0,y(0)=24

y^{^{''}} - 3 y^{^{'}} - 18 y = 0, y (0) = 24

1y^{''}+0y^'+9y=0,y(0)=6,y^'(0)=-17

1 y^{^{''}} + 0 y^{^{'}} + 9 y = 0, y (0) = 6, y^{^{'}} (0) = - 17

(d^2y)/(dx^2)-5(dy)/(dx)+15y=0

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 15 y = 0

y^{''}+a/b y^'=0

y^{^{''}} + \frac{a}{b} y^{^{'}} = 0

(D^{2} + 3 D) y = 0