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Beliebt Rechnen >

16y^{'''}+24y^{''}+9y^'=0

Lösung

16 y^{^{'''}} + 24 y^{^{''}} + 9 y^{^{'}} = 0

Lösung

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

Schritte zur Lösung

16 y^{'''} (t) + 24 y^{''} (t) + 9 y^{'} (t) = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

121 y^{^{''}} - 4 y = 0

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

l in e a r y^{^{''}} - 4 y^{^{'}} + 4 y = 0

y^{''}-2sqrt(11)y^'+11y=0

y^{^{''}} - 211 y^{^{'}} + 11 y = 0

y^{''}-(2α-1)y^'+α(α-1)y=0

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

y^{''}+2y^'+5y=0,y(0)=-4,y^'(0)=3

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = - 4, y^{^{'}} (0) = 3