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人気のある微分積分 >

(dy)/(dx)=(x-y)/(x+y)

解

\frac{d y}{d x} = \frac{x - y}{x + y}

解

y = \frac{- 2 x + 8 x ^{2} + c _{1}}{2}, y = \frac{- 2 x - 8 x ^{2} + c _{1}}{2}

解答ステップ

\frac{d y}{d x} = \frac{x - y}{x + y}

完全 ODE を解く:

y = \frac{- 2 x + 8 x ^{2} + c _{1}}{2}, y = \frac{- 2 x - 8 x ^{2} + c _{1}}{2}

y = \frac{- 2 x + 8 x ^{2} + c _{1}}{2}, y = \frac{- 2 x - 8 x ^{2} + c _{1}}{2}

グラフ

人気の例

limit as x approaches infinity of y

x \to \infty lim (y)

integral of (y^2)/x

\int \frac{y ^{2}}{x} d x

tangent f(x)=x^4-13^2+36,\at x=3

t an g e n t f (x) = x^{4} - 1 3^{2} + 36, at x = 3

limit as x approaches 1 of (3x-2)/(x+2)

x \to 1 lim (\frac{3 x - 2}{x + 2})

limit as x approaches 4-of x^2+1

x \to 4 - lim (x^{2} + 1)