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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

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