I just took an exam and the final problem was the following:(adsbygoogle = window.adsbygoogle || []).push({});

dy/dx = (y-3) e^(cos(xy))

y(1)=1

prove that y(x) < 3 for all x for all y that are defined.

To be honest, I tried a few things but realized I didn't know where to start. I can show that the limit of the slope from neg. infinity to infinity is zero which means 3 is an asymptote but I had no idea how to show this. Ideas?

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# First order IVP (sort of)

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