dy⼀dx=(y-x^2*e^x)⼀x

2025-05-17 11:24:57
推荐回答(1个)
回答1:

dy/dx=e^(x-y-2)
dy/dx=e^-2*e^x/e^-y
e^ydy=e^-2e^xdx
两边积分得到
e^y=e^-2e^x+C
代入 (0,0)
1=e^-2+C=0
e^y=e^-2e^x+1-e^-2