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Beliebt Rechnen >

x^{''}+2x^'+50x=2cos(7t)

Lösung

x^{^{''}} + 2 x^{^{'}} + 50 x = 2 cos (7 t)

Lösung

x = e^{- t} (c_{1} cos (7 t) + c_{2} sin (7 t)) + \frac{28}{197} sin (7 t) + \frac{2}{197} cos (7 t)

Schritte zur Lösung

x^{''} (t) + 2 x^{'} (t) + 50 x = 2 cos (7 t)

Solve linear ODE:

x = e^{- t} (c_{1} cos (7 t) + c_{2} sin (7 t)) + \frac{28}{197} sin (7 t) + \frac{2}{197} cos (7 t)

x = e^{- t} (c_{1} cos (7 t) + c_{2} sin (7 t)) + \frac{28}{197} sin (7 t) + \frac{2}{197} cos (7 t)

Graph

Beliebte Beispiele

y^{''}+y=(cos(x))^2

y^{^{''}} + y = (cos (x))^{2}

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