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Beliebt Rechnen >

66y^{'''}+17y^{''}+y^'=0

Lösung

66 y^{^{'''}} + 17 y^{^{''}} + y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- \frac{t}{11}} + c_{3} e^{- \frac{t}{6}}

Schritte zur Lösung

66 y^{'''} (t) + 17 y^{''} (t) + y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{t}{11}} + c_{3} e^{- \frac{t}{6}}

y = c_{1} + c_{2} e^{- \frac{t}{11}} + c_{3} e^{- \frac{t}{6}}

Graph

Beliebte Beispiele

y^{'''}-15y^{''}+27y^'+243y=0

y^{^{'''}} - 15 y^{^{''}} + 27 y^{^{'}} + 243 y = 0

2x^{''}+2x^'+3x=0

2 x^{^{''}} + 2 x^{^{'}} + 3 x = 0

3y^{''}+2y^'+4y^{''}+y=0

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

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

4y^{''}-y^'-3y=0,y(0)=5,y^'(0)=0

4 y^{^{''}} - y^{^{'}} - 3 y = 0, y (0) = 5, y^{^{'}} (0) = 0