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Beliebt Rechnen >

2y^{''''}+3y^{'''}+2y^{''}+6y^'-4y=0

Lösung

2 y^{^{''''}} + 3 y^{^{'''}} + 2 y^{^{''}} + 6 y^{^{'}} - 4 y = 0

Lösung

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

Schritte zur Lösung

2 y^{(4)} (t) + 3 y^{'''} (t) + 2 y^{''} (t) + 6 y^{'} (t) - 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

4y^{''}-4y^'-3y=0,y(0)=1,y^'(0)=3

4 y^{^{''}} - 4 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 3

y^{''}+3y=0,y(0)=1,y^'(0)=3

y^{^{''}} + 3 y = 0, y (0) = 1, y^{^{'}} (0) = 3

y^{^{''}} - 4 y + 5 y = 0

y^{'''}-2y^{''}=0

y^{^{'''}} - 2 y^{^{''}} = 0

5(d^2x)/(dt^2)+3(dx)/(dt)+6x=0

5 \frac{d ^{2} x}{d t ^{2}} + 3 \frac{d x}{d t} + 6 x = 0