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Messages - Jingxuan Zhang

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Web Bonus Problems / Re: Web Bonus Problem –– Week 1
« on: January 06, 2018, 10:23:04 AM »
I am trying to follow the quick way as in lecture below.
$$\text{ something wrong }.$$
Hence upon substitution,
$$\text{ some other thing wrong}. $$
Thus I have the unknown functions. I think the constants and explicit forms shows up as a result of not presume these functions beforehand.


I hope what follows is no longer nonsense. We indeed have the not-so-arbitrary functions as desired,
$$c_{1}xy, c_{3}x,  c_{2}y, c_{4}.$$
They lost their arbitrariness in form by constrain $(2)$, since upon substitution
$$x f_{y}(y) + g_{y}(y)=h(x)$$
the particular form of $f,g$ is dictated to be polynomial in $y$ of degree less than one.

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