Question

解微分方程 xy''-y'+2=0

Answer 1

简单计算一下即可，答案如图所示

Answer 2

y'=p, p'-p/x=-2/x
由一阶方程通解公式,解得：p=x(C1+∫(-2/x^2)dx)=xC1+2
y=∫(xC1+2)dx
=C2+C1x^2/2+2x