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Hey Emily!
I also noticed that this was a Bernoulli equation and followed steps that basically mirrored yours. I also immediately placed values of p(x), q(x), and r on the side so that I could easily tell what values I needed to plug in for the next steps. Overall, our work process was about the same.
Hey Emily! Nice solution. My test had r=2 but funky p(x) and f(x) values. Nice to see that regardless the solution is the same 🙂