求微分方程cosxdy⼀dx+(sinx)y=sinx通解

2025-06-26 11:11:49
推荐回答(2个)
回答1:

方法如下,
请作参考:

回答2:

cosxdy/dx+(sinx)y=sinx
cosxdy+(sinx)ydx=sinxdx
cosxdy-ydcosx=-dcosx
cosxdy=(y-1)dcosx
dy/(y-1)=dcosx/cosx
ln(y-1)=lncosx+lnC
y-1=Ccosx