There must be a typo in here somewhere. I'm showing the solution to this differential equation is what mathematica calls
$C x+\frac{1}{2} x \left(Ei(x)-\frac{e^x}{x}\right)$
$Ei(x)=\int_{-x}^\infty \dfrac {e^{-t}} t~dt$
Here I am supposed to show that the equation of the right is a solution of the differential equation on the left. I have solved a few problems of this type already but I have trouble with this one. Did I make a mistake and overlooked something somewhere or the condition 'for x>0' sort of means that it is okay even if the other side of the equation turns out to be negative? In the book's answer key it says that for this problem the equation on the right is a solution of the DE
Oh it seems that it was not my solution that was wrong but rather I forgot to copy the negative sign in when I copied it on the paper.. Thanks again so much SlipEternal you are my savior! By the way what is the difference between\dfrac and \frac?