I am a Computational Biology master's student and I would like to study differential equations (both ODEs and PDEs).
I tried to have a look at the available textbooks but what I found is either too theory-oriented or too applications-oriented. I do not want to waste time proving theorems but I do not want to simply solve basic equations using finite differences.
The only text I found is Ordinary and Partial Differential Equations by Henner. Unfortunately, I was not able to find any review of it and it's quite huge. I also toke into consideration doing the ODE part by watching Gilbert Strang's short videos online and the PDE part watching some lectures on YouTube (commutant's channel), but I was wondering whether this is too basic (MOOC style). Any suggestion?