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人気のある微分積分 >

(1+x)y^'+2y=(sin(x))/(1+x)

解

(1 + x) y^{^{'}} + 2 y = \frac{sin ( x )}{1 + x}

解

y = - \frac{cos ( x )}{1 + 2 x + x ^{2}} + \frac{c _{1}}{1 + 2 x + x ^{2}}

解答ステップ

(1 + x) y^{'} (x) + 2 y = \frac{sin ( x )}{1 + x}

線形 ODE を解く:

y = - \frac{cos ( x )}{1 + 2 x + x ^{2}} + \frac{c _{1}}{1 + 2 x + x ^{2}}

y = - \frac{cos ( x )}{1 + 2 x + x ^{2}} + \frac{c _{1}}{1 + 2 x + x ^{2}}

グラフ

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