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人気のある微分積分 >

4y^{''}-y^'+y=0

解

4 y^{^{''}} - y^{^{'}} + y = 0

解

y = e^{\frac{t}{8}} (c_{1} cos (\frac{15 t}{8}) + c_{2} sin (\frac{15 t}{8}))

解答ステップ

4 y^{''} (t) - y^{'} (t) + y = 0

線形 ODE を解く:

y = e^{\frac{t}{8}} (c_{1} cos (\frac{15 t}{8}) + c_{2} sin (\frac{15 t}{8}))

y = e^{\frac{t}{8}} (c_{1} cos (\frac{15 t}{8}) + c_{2} sin (\frac{15 t}{8}))

グラフ

人気の例

y^{''}+2y^'-y=10

y^{^{''}} + 2 y^{^{'}} - y = 10

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