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人気のある微分積分 >

y^'= y/x+((2x^3)/y)cos(x^2)

解

y^{^{'}} = \frac{y}{x} + (\frac{2 x ^{3}}{y}) cos (x^{2})

解

y = x 2 sin (x^{2}) + c_{1}, y = - x 2 sin (x^{2}) + c_{1}

解答ステップ

y^{'} (x) = \frac{y}{x} + (\frac{2 x ^{3}}{y}) cos (x^{2})

ベルヌーイ ODE を解く:

y = x 2 sin (x^{2}) + c_{1}, y = - x 2 sin (x^{2}) + c_{1}

y = x 2 sin (x^{2}) + c_{1}, y = - x 2 sin (x^{2}) + c_{1}

グラフ

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