Question

Integral here, taken from my Bioengineering Transport Phenomena class regarding heat transfer out of a particle. See below if you dare!

Answer 1

\[T*e ^{\frac{ 2br ^{2} - ar ^{4} }{ 4 }} = C _{1} \int\limits_{ }^{ } \frac{ 1 }{ r } e ^{\frac{ 2br ^{2} - ar ^{4} }{ 4 }} dr\]

Answer 2

T = T(r) and thus is a function of r, so it makes it very difficult or practically impossible to derive both sides and attempt to find the derivative of the left side.

Answer 3

wow i feel bad for you

Answer 4

why not just thrash it out?! there's a good chance it'll separate for ya. a lot of stuff is just gonna cancel out.

Answer 5

But it looks like it is in integrating factor form already, so you may just go round in a circle :-/