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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

derivative of 4+4/x

\frac{d}{d x} (4 + \frac{4}{x})

integral of (x^4+3x^2+5)/(x^4)

\int \frac{x ^{4} + 3 x ^{2} + 5}{x ^{4}} d x

(dx)/(dt)=8+4sin(t/4)-x/(100),x(0)=70

\frac{d x}{d t} = 8 + 4 sin (\frac{t}{4}) - \frac{x}{100}, x (0) = 70

tangent f(x)=(sqrt(x))/(2x-8),\at x=3

t an g e n t f (x) = \frac{x}{2 x - 8}, at x = 3

limit as x approaches infinity of 5/x-4

x \to \infty lim (\frac{5}{x} - 4)