✔ 最佳答案
dy/dx = (x^2 + y^2) / 2xy
y = integrate [(x^2 + y^2) / 2xy]dx
= 1/2y integrate [x + (y^2)/x] dx
= 1/2y [(x^2)/2 + (y^2)ln(x)] + C
2y^2 = (x^2)/2 + (y^2)ln(x) + C
(y^2)[2 - ln(x)] = (x^2)/2 + C
y^2 = [(x^2) + 2C]/ 2[2-ln(x)]
y = squareRoot {[(x^2) + 2C] / 2[2-ln(x)]}
where C is a contant; integrate 1/x dx = ln(x); integrate x dx = (x^2)/2
Thanks
2006-12-12 11:25:05 補充:
If your want to find C, the question should state some conditions. e.g. when x = 0, y = sth... Thanks