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Beliebt Rechnen >

x^{''}+10x^'+16x=2581cos(5t)

Lösung

x^{^{''}} + 10 x^{^{'}} + 16 x = 2581 cos (5 t)

Lösung

x = c_{1} e^{- 2 t} + c_{2} e^{- 8 t} + 50 sin (5 t) - 9 cos (5 t)

Schritte zur Lösung

x^{''} (t) + 10 x^{'} (t) + 16 x = 2581 cos (5 t)

Solve linear ODE:

x = c_{1} e^{- 2 t} + c_{2} e^{- 8 t} + 50 sin (5 t) - 9 cos (5 t)

x = c_{1} e^{- 2 t} + c_{2} e^{- 8 t} + 50 sin (5 t) - 9 cos (5 t)

Graph

Beliebte Beispiele

(D^4+10D^2+9)y=sin(3x)+cos(3x)

y^{''}+36y=2e^{6x}

y^{''}+2y^'-8y=2e^{4t}

(d^2+6d+9)y=(e^{-3}x)/(x^3)