The last time when I thought that the task was about solving a non-linear differential equation with convolution and Frobenius -method more here, my instructor cheered me up that the goal was some sort of numerical approximation for the non-linear differential equation with first-order differentials -- it used the term to solve in
"system form" which was at best misleading (well I never understood how it really was meant like that but here is a next puzzle). The task is to solve this
"with integrals" or actually it uses some slang
"kvadratures" in the assignment. I am now unsure whether I should use many times chain-rule and solve it with brute-force or whether there is some elegant way to solve this with
"with kvadratures"? I am not sure whether the author is now referring to some numerical method or does it mean really just to integrate it and solve it?
Page 633 in the foreign book I have been doing -- sorry no English version available and the book has not been peer-reviewed.