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人気のある >

xy^'-y^2ln(x)+y=0

解

x y^{^{'}} - y^{2} ln (x) + y = 0

解

y = \frac{1}{ln ( x ) + 1 + c _{1} x}

解答ステップ

x y^{'} (x) - y^{2} ln (x) + y = 0

ベルヌーイ ODE を解く:

y = \frac{1}{ln ( x ) + 1 + c _{1} x}

y = \frac{1}{ln ( x ) + 1 + c _{1} x}

人気の例

limit as x approaches 3 of 7x-6

x \to 3 lim (7 x - 6)

derivative sin(x)導関数

sin (x)

(\partial)/(\partial x)(1000-4xy+xy^2)

\frac{\partial}{\partial x} (1000 - 4 x y + x y^{2})

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

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