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Beliebt Rechnen >

y^{''''}-2y^{''}-8y=0

Lösung

y^{^{''''}} - 2 y^{^{''}} - 8 y = 0

Lösung

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

Schritte zur Lösung

y^{(4)} (t) - 2 y^{''} (t) - 8 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{'''}+y^{''}-30y^'=0

y^{^{'''}} + y^{^{''}} - 30 y^{^{'}} = 0

θ^{''}(t)+16.33θ(t)=0

θ^{^{''}} (t) + 16.33 θ (t) = 0

y^{^{''}} + c^{2} y = 0

x^{''}+1536/25 x=0

x^{^{''}} + \frac{1536}{25} x = 0