The general solution of the differential equation XY '+ y-e to the power x = 0 is y=

The general solution of the differential equation XY '+ y-e to the power x = 0 is y=

Upstairs is the solution
y=(e^x+C)/x
Constant variation method
First find the solution of XY '+ y = 0
y=C/x
Let y = t (x) / x, then y '= (T / x)' = (t'x + X't) / x ^ 2 be substituted into the original equation
t'=e^x
So t = e ^ x + C
That is, xy = e ^ x + C