Can you explain you're work. The images don't show up too well, and i don't see a lot of work explaining the graphs. I'm familiar with the method you're using, guess you could call it a short-cut.
Also you can try going through the problem again using the differential equations that you provided. It's a little more work with getting the boundary conditions, but you should get the same answer.
Nothing to add that teknodude didn't already say, but I suggest you use a different bending moment sign convention, since a minority of people sketch bending moment/shear force diagrams like this. But then again, if you were explicitly taught to do it like that, no problemo.
