dy/dx=(x+y^3)/xy^2
dy/dx=(x+y^3)/xy^2
数学人气:871 ℃时间:2020-04-09 03:48:26
优质解答
∵dy/dx=(x+y^3)/(xy^2)==>xy^2dy=(x+y^3)dx==>y^2dy/x^3=dx/x^3+y^3dx/x^4 (等式两端同除x^4)==>d(y^3)/(3x^3)+y^3d(1/(3x^3))+d(1/(2x^2))=0==>d(y^3/(3x^3))+d(1/(2x^2))=0==>y^3/(3x^3)+1/(2x^2)=C/6 (C是常数)=...
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