变量分离方程解答, dy/dx=(x-y+5)/(x-y-2)

问题描述:

变量分离方程解答, dy/dx=(x-y+5)/(x-y-2)

dy/dx=1+7/(x-y-2)
令x-y-2=u 1-y'=u'
1-u'=1+7/u u'=-7/u
u^2=-14x+C
或:(x-y-2)^2=-14x+C令x-y-2=u 怎么得到1-y'=u'???谢谢两边对x求导额,好吧,我懂了,谢谢