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Beliebt Rechnen >

y^{''}+4y=3sec(2t)

Lösung

y^{^{''}} + 4 y = 3 sec (2 t)

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{3}{4} ln (cos (2 t)) cos (2 t) + \frac{3}{2} t sin (2 t)

Schritte zur Lösung

y^{''} (t) + 4 y = 3 sec (2 t)

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{3}{4} ln (cos (2 t)) cos (2 t) + \frac{3}{2} t sin (2 t)

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{3}{4} ln (cos (2 t)) cos (2 t) + \frac{3}{2} t sin (2 t)

Graph

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