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Beliebt Rechnen >

y^{''}+25y=5(csc(5t))^2

Lösung

y^{^{''}} + 25 y = 5 (csc (5 t))^{2}

Lösung

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

Schritte zur Lösung

y^{''} (t) + 25 y = 5 (csc (5 t))^{2}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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t y^{^{'}} + (t + 1) y = t, y (ln (6)) = 1

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