1. ## Find The iterval??

Let F(x)=x + (e^(x-1))/x
Find the largest interval on which F is a solution to the I.V.P
dy/dx + ((1-x)/x)y = 2-x , y(1) = 2

2. Originally Posted by matty888
Let F(x)=x + (e^(x-1))/x
Find the largest interval on which F is a solution to the I.V.P
dy/dx + ((1-x)/x)y = 2-x , y(1) = 2
You need to have $x\not =0$. Then you are told that $y(1)=2$ therefore, $1$ has to be included in that interval.
Thus, this forces for $x>0$. The interval is $(0,\infty)$.