1. Solve

where a and b are constants

rewrote the integral as

then used this list of integrals [HTML]http://en.wikipedia.org/wiki/List_of_integrals_of_rational_functions[/HTML]

multiply both sides by a and raise everything to e

I'd appreciate it if someone could check this for me and tell me what I might have done wrong.

2. Find a solution that passes through the points (0, 0) and (0, 1)

used partial fractions on left side to get

I'm pretty sure I did something wrong, most likely with the partial fractions b/c if you put the given points into my answer it yields 0=0 and DNE so I'd appreciate if someone could tell me what I did wrong.

Thanks in advance.