y(x)是方程e^(xy)+y^2=cosx确定的隐函数,则dy=?

2025-02-25 13:29:39
推荐回答(1个)
回答1:

e^(xy)(y+xy')+2yy'=-sinx
[xe^(xy)+2y]y'= -sinx-ye^(xy)
y'= -[sinx + ye^(xy)]/[2y+xe^(xy)]
dy = -[sinx + ye^(xy)]dx / [2y+xe^(xy)]