Riccati方程dy/dx+ay^2=bx'''可积的充分条件的探求

The New Solution to The Sufficient Condition of Integrability for A Old Riccati Equation dy/dx+ay^2=bx^(?)

对于Riccati方程:dy/dx+ay^2=bx^m(a,b,m为常数,且ab≠0)(1)给出积充分条件:m=0,-2,-4k/(2k+1),-4k/(2k-1)(k=1,2,…)(2)的一种求法.

This papre gives the new solution to Riccati equation：dy/dx＋ay^2=bxm with integrably sufficient conditions： m = 0, -2, -4k/（2k ＋ 1）, -4k/（2k - 1）（k = 1, 2,……）.