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Beliebt Rechnen >

y^{'''}-6y^'+11y^'-6y=0

Lösung

y^{^{'''}} - 6 y^{^{'}} + 11 y^{^{'}} - 6 y = 0

Lösung

y = c_{1} e^{t} + e^{- \frac{t}{2}} (c_{2} cos (\frac{23 t}{2}) + c_{3} sin (\frac{23 t}{2}))

Schritte zur Lösung

y^{'''} (t) - 6 y^{'} (t) + 11 y^{'} (t) - 6 y = 0

Solve linear ODE:

y = c_{1} e^{t} + e^{- \frac{t}{2}} (c_{2} cos (\frac{23 t}{2}) + c_{3} sin (\frac{23 t}{2}))

y = c_{1} e^{t} + e^{- \frac{t}{2}} (c_{2} cos (\frac{23 t}{2}) + c_{3} sin (\frac{23 t}{2}))

Graph

Beliebte Beispiele

(D^{2} + 5 D + 6) y = 0

5000x^{''}+105324.07x=0

5000 x^{^{''}} + 105324.07 x = 0

81y^{''}-36y^'+8y=0

81 y^{^{''}} - 36 y^{^{'}} + 8 y = 0

(d^2y)/(dt^2)+3(dy)/(dt)-10y=0

\frac{d ^{2} y}{d t ^{2}} + 3 \frac{d y}{d t} - 10 y = 0

y^{''}+10y^'+34y=0,y(0)=1,y^'(0)=2

y^{^{''}} + 10 y^{^{'}} + 34 y = 0, y (0) = 1, y^{^{'}} (0) = 2