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Beliebt Rechnen >

y^{''}+9y=2sec(3t)

Lösung

y^{^{''}} + 9 y = 2 sec (3 t)

Lösung

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{2}{9} ln (cos (3 t)) cos (3 t) + \frac{2}{3} t sin (3 t)

Schritte zur Lösung

y^{''} (t) + 9 y = 2 sec (3 t)

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{2}{9} ln (cos (3 t)) cos (3 t) + \frac{2}{3} t sin (3 t)

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{2}{9} ln (cos (3 t)) cos (3 t) + \frac{2}{3} t sin (3 t)

Graph

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