求dy/dx-(1/x)y=2x^2的通解

问题描述:

求dy/dx-(1/x)y=2x^2的通解

∵dy/dx-(1/x)y=2x^2==>dy-ydx/x=2x^2dx==>dy/x-ydx/x^2=2xdx(等式两端同除x)==>d(y/x)=d(x^2)==>y/x=x^2+C(C是常数)==>y=x^...