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人気のある微分積分 >

y^{''}-6y^'+25y=50t^3-36t^2-63t+18

解

y^{^{''}} - 6 y^{^{'}} + 25 y = 50 t^{3} - 36 t^{2} - 63 t + 18

解

y = e^{3 t} (c_{1} cos (4 t) + c_{2} sin (4 t)) + 2 t^{3} - 3 t

解答ステップ

y^{''} (t) - 6 y^{'} (t) + 25 y = 50 t^{3} - 36 t^{2} - 63 t + 18

線形 ODE を解く:

y = e^{3 t} (c_{1} cos (4 t) + c_{2} sin (4 t)) + 2 t^{3} - 3 t

y = e^{3 t} (c_{1} cos (4 t) + c_{2} sin (4 t)) + 2 t^{3} - 3 t

グラフ

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