题目
微分方程 (dy)/(dx) = (y)/(x) - (1)/(2)((y)/(x))^3 满足 y|_(x=1) = 1 的特解为 y = ()。A. x^2 = y^2(1 + ln x)B. y^2 = x^2(1 - ln x)C. x^2 = y^2(1 - ln x)D. y^2 = x^2(1 + ln x)
微分方程 $\frac{dy}{dx} = \frac{y}{x} - \frac{1}{2}\left(\frac{y}{x}\right)^3$ 满足 $y|_{x=1} = 1$ 的特解为 $y = ()$。
A. $x^2 = y^2(1 + \ln x)$
B. $y^2 = x^2(1 - \ln x)$
C. $x^2 = y^2(1 - \ln x)$
D. $y^2 = x^2(1 + \ln x)$
题目解答
答案
A. $x^2 = y^2(1 + \ln x)$