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人気のある微分積分 >

y^{''}-9y=2t^2+3t+9

解

y^{^{''}} - 9 y = 2 t^{2} + 3 t + 9

解

y = c_{1} e^{3 t} + c_{2} e^{- 3 t} - \frac{2 t ^{2}}{9} - \frac{t}{3} - \frac{85}{81}

解答ステップ

y^{''} (t) - 9 y = 2 t^{2} + 3 t + 9

線形 ODE を解く:

y = c_{1} e^{3 t} + c_{2} e^{- 3 t} - \frac{2 t ^{2}}{9} - \frac{t}{3} - \frac{85}{81}

y = c_{1} e^{3 t} + c_{2} e^{- 3 t} - \frac{2 t ^{2}}{9} - \frac{t}{3} - \frac{85}{81}

グラフ

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