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Beliebt Rechnen >

y^{''''}-81y=0

Lösung

y^{^{''''}} - 81 y = 0

Lösung

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

Schritte zur Lösung

y^{(4)} (t) - 81 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-2y^'+5y=0,y(0)=0,y^'(0)=1

y^{^{''}} - 2 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = 1

2y^{''}+12y^'+8y=0,y(0)=5,y^'(0)=0

2 y^{^{''}} + 12 y^{^{'}} + 8 y = 0, y (0) = 5, y^{^{'}} (0) = 0

y^{''}-1/2 y^'+5y=0

y^{^{''}} - \frac{1}{2} y^{^{'}} + 5 y = 0

x^{^{''}} + 8 x = 0

y/(y^{'')}=2,y^'(0)=6,y(0)=0

\frac{y}{y ^{^{''}}} = 2, y^{^{'}} (0) = 6, y (0) = 0