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人気のある微分積分 >

2y^'+y= 3/2 t^2

解

2 y^{^{'}} + y = \frac{3}{2} t^{2}

解

y = \frac{3 ( t ^{2} - 8 ( \frac{t}{2} - 1 ) )}{2} + \frac{c _{1}}{e ^{\frac{t}{2}}}

解答ステップ

2 y^{'} (t) + y = \frac{3}{2} t^{2}

線形 ODE を解く:

y = \frac{3 ( t ^{2} - 8 ( \frac{t}{2} - 1 ) )}{2} + \frac{c _{1}}{e ^{\frac{t}{2}}}

y = \frac{3 ( t ^{2} - 8 ( \frac{t}{2} - 1 ) )}{2} + \frac{c _{1}}{e ^{\frac{t}{2}}}

グラフ

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