Hi. The instructions say "Verify that y is a general solution of the differential equation. Then find the particular solution of the differential equation that satisfies the condition y(1) = -.5e".

Y= (Ce^x)/(x) + (.5x)(e^x).

Y' + [(1-X)/(X)]Y=e^x.

However, when I plug in the point, C always dissapears due to it being associated with a zero that is multiplied. The right answer is that

c= -1. How do I arrive at thiis answer?

Many thanks