用微分做就好理解了,根据dy=y'dx,dC=0,有
d(y^5+2y-x-3x^7)=5y^4dy+2dy-dx-21x^6dx=0
方程两边除dx,则有
(5y^4+2)*(dy/dx)-(1+21x^6)=0
y'=dy/dx=[(21x^6)+1]/[(5y^4)+2]
用微分做就好理解了,根据dy=y'dx,dC=0,有
d(y^5+2y-x-3x^7)=5y^4dy+2dy-dx-21x^6dx=0
方程两边除dx,则有
(5y^4+2)*(dy/dx)-(1+21x^6)=0
y'=dy/dx=[(21x^6)+1]/[(5y^4)+2]