问题描述: 求微分方程(1-x^2)dy+(2xy-cosx)dx=0满足初始条件y(0)=1的特解 1个回答 分类:数学 2014-11-22 问题解答: 我来补答 (1-x^2)dy+(2xy-cosx)dx=0(1-x^2)dy+yd(x^2-1)=cosxdxdy/(1-x^2)+yd(1/(1-x^2))=cosxdx/(1-x^2)^2d(y/(1-x^2))=cosxdx/(1-x^2)^2通解y/(1-x^2)=∫cosxdx/(1-x^2)^2 展开全文阅读