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人気のある微分積分 >

y^'-y=9te^2t,y(0)=1

解

y^{^{'}} - y = 9 t e^{2} t, y (0) = 1

解

y = - 9 e^{2} (t^{2} + 2 (t + 1)) + (1 + 18 e^{2}) e^{t}

解答ステップ

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

線形 ODE を解く:

y = - 9 e^{2} (t^{2} + 2 (t + 1)) + (1 + 18 e^{2}) e^{t}

y = - 9 e^{2} (t^{2} + 2 (t + 1)) + (1 + 18 e^{2}) e^{t}

グラフ

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