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Beliebt Rechnen >

y^{''}+4y=-5csc(2t)

Lösung

y^{^{''}} + 4 y = - 5 csc (2 t)

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{5}{2} t cos (2 t) - \frac{5}{4} ln (sin (2 t)) sin (2 t)

Schritte zur Lösung

y^{''} (t) + 4 y = - 5 csc (2 t)

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{5}{2} t cos (2 t) - \frac{5}{4} ln (sin (2 t)) sin (2 t)

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{5}{2} t cos (2 t) - \frac{5}{4} ln (sin (2 t)) sin (2 t)

Graph

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