Greetings people! Since a LOT of people signed up, we're gonna try to have a public class and see if it'll work. Don't worry, I'll make multiple classes to accommodate people's time schedule.
People in this class:
- Ittihad
- Raiyan
- nahin
- Rashku
- Lazim
- dshasan
- Epshita
- Fardin
To start, I'm gonna ask you two things. First, how often will you be able to respond to lessons? i.e. If I give everyone a problem to try and solve, how long do you want before a solution is expected (24 hours, 48 hours, twice a week)? Alternatively, tell me how much time throughout the week you'll be able to dedicate to this.
Secondly, tell me about your past experience with F.E.s. Are there any of the following that you can solve?
- Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that $f(x^2 + y) = f(x^{27} + 2y) + f(x^4)$
- Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that $f(x^2 - y^2) = xf(x) - yf(y)$
- Find all functions $f: \mathbb{R}^+ \rightarrow \mathbb{R}^+$ such that $(z + 1)f(x + y) = f(xf(z) + y) + f(yf(z) + x)$
We'll use this thread for posting solutions and insights, so that others can look over it (and so that we can keep everything organized). For real-time discussion, we'll use Telegram. If you haven't already, plase make a telegram account!