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人気のある微分積分 >

(1+x^2)dy-(1+4y^2)dx=0

解

(1 + x^{2}) d y - (1 + 4 y^{2}) d x = 0

解

y = \frac{tan ( 2 arctan ( x ) + c _{1} )}{2}

解答ステップ

(1 + x^{2}) d y - (1 + 4 y^{2}) d x = 0

分離可能 ODE を解く:

y = \frac{tan ( 2 arctan ( x ) + c _{1} )}{2}

y = \frac{tan ( 2 arctan ( x ) + c _{1} )}{2}

グラフ

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