dy/dx -x=5-y 怎么求y? 过程详细些,谢谢

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dy/dx -x=5-y
dy/dx +y=5+x
两边同乘以e^x得(e^x)y'+(e^x)y=(x+5)e^x
[(e^x)y]'=(x+5)e^x
两边积分(e^x)y=∫[(x+5)e^x]dx=(x+4)e^x+C
y=x+4+C[e^(-x)]