求微分方程的通解 2(ln y-x)y′ =y

问题描述:

求微分方程的通解 2(ln y-x)y′ =y

∵2(ln y-x)y′ =y ==>2y(ln y-x)y′ =y² ==>y²dx+2xydy=2ylnydy ==>y²dx+xd(y²)=lnyd(y²) ...