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人気のある微分積分 >

x^{''}+1/4 x^'+2x=0

解

x^{^{''}} + \frac{1}{4} x^{^{'}} + 2 x = 0

解

x = e^{- \frac{t}{8}} (c_{1} cos (\frac{127 t}{8}) + c_{2} sin (\frac{127 t}{8}))

解答ステップ

x^{''} (t) + \frac{1}{4} x^{'} (t) + 2 x = 0

線形 ODE を解く:

x = e^{- \frac{t}{8}} (c_{1} cos (\frac{127 t}{8}) + c_{2} sin (\frac{127 t}{8}))

x = e^{- \frac{t}{8}} (c_{1} cos (\frac{127 t}{8}) + c_{2} sin (\frac{127 t}{8}))

グラフ

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