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