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Beliebt Rechnen >

9y^{'''}+12y^{''}+4y^'=0

Lösung

9 y^{^{'''}} + 12 y^{^{''}} + 4 y^{^{'}} = 0

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(D^3-2D^2-5D+6)y=0

(D^{3} - 2 D^{2} - 5 D + 6) y = 0

16y^{''}+88y^'+121y=0

16 y^{^{''}} + 88 y^{^{'}} + 121 y = 0

\frac{y ^{^{''}}}{y} = - 1

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

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

15y^{''''}+92y^{''}+64y=0

15 y^{^{''''}} + 92 y^{^{''}} + 64 y = 0