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人気のある微分積分 >

2t((dy)/(dt))+y=4t^2+3t

解

2 t (\frac{d y}{d t}) + y = 4 t^{2} + 3 t

解

y = \frac{4 t ^{2}}{5} + t + \frac{c _{1}}{t}

解答ステップ

2 t (\frac{d y}{d t}) + y = 4 t^{2} + 3 t

線形 ODE を解く:

y = \frac{4 t ^{2}}{5} + t + \frac{c _{1}}{t}

y = \frac{4 t ^{2}}{5} + t + \frac{c _{1}}{t}

グラフ

人気の例

integral from 2 to 3 of 5/(x^2-1)

\int_{2}^{3} \frac{5}{x ^{2} - 1} d x

\frac{d x}{d t} = 2 x

limit as x approaches infinity of (sqrt(1+\sqrt{1/x)}-1)sqrt(x)

x \to \infty lim 1 + \frac{1}{x} - 1 x

y^{^{'}} = e^{x - y}

integral from-2 to 2 of 5-sqrt(4-x^2)

\int_{- 2}^{2} 5 - 4 - x^{2} d x