Question

Complex triple differential problem... I need to solve for time t. Need help getting rid of one of the differentials

Constants: Cp, rho, k, q
Boundaries: T(298.15, 423.15); r(0, 0.0125); t(0,t)

Answer 1

\[\rho C_p{dT \over dt}=k[{1 \over r^2}{d \over dr}(r^2{dT \over dr})]+\rho q\]

Answer 2

I'm just looking for a tip of how to get it to just two differentials