# Solution of differential equation in terms of incomplete gamma function

I need help in solving equation 15 and 16 either manually or in Mathematica to get the solution in terms of the incomplete gamma function. This is what Mathematica tells me. I can't understand what is the problem. • Welcome to Mathematica.SE. From experience I know that you are more likely to receive an answer if you demonstrate effort to solve this on your own, or request help with a specific method or idea. Questions that look like "do my homework for me" are usually ignored. Sep 14 '14 at 7:07
• Actually i tried on mathematica and also manually but got stuck..just want to have hints how to proceed Sep 14 '14 at 7:10
• I suggest you include what you tried. Understand I am not personally demanding this (actually I think showing failed attempts is not really desirable; see this), I am merely trying to help you get answers, and I know that many people will not answer unless effort it demonstrated, for better or worse. Sep 14 '14 at 7:15

DSolve[e t''[e] + (1 - Pr/b^2 (1 + bs) + e) t'[e] == 0 &&  t[Pr/b^2] == 1 && t == 0, t, e]

$$\left\{\left\{t\to \left(\{e\}\to \frac{\Gamma \left(\frac{(\text{bs}+1) \Pr }{b^2},0\right)-\Gamma \left(\frac{(\text{bs}+1) \Pr }{b^2},e\right)}{\Gamma \left(\frac{(\text{bs}+1) \Pr }{b^2},0\right)-\Gamma \left(\frac{(\text{bs}+1) \Pr }{b^2},\frac{\Pr }{b^2}\right)}\right)\right\}\right\}$$