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人気のある微分積分 >

y^{''}+16y=5csc^2(4t)

解

y^{^{''}} + 16 y = 5 csc^{2} (4 t)

解

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{- 5 ln ( tan ( 2 t ) ) cos ( 4 t ) - 5}{16}

解答ステップ

y^{''} (t) + 16 y = 5 csc^{2} (4 t)

線形 ODE を解く:

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{- 5 ln ( tan ( 2 t ) ) cos ( 4 t ) - 5}{16}

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{- 5 ln ( tan ( 2 t ) ) cos ( 4 t ) - 5}{16}

グラフ

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