I have posted a revised answer key for the 7th problem sheet. I have corrected some typos and added a few clarifying remarks.

Please also note a typo in the lecture notes on turning points in WKB solution:

(1) With a transformation of the form [1 + delta * z = x], you want delta = epsilon^{2/3}

(Take a look at the WKB solution to problem 7.6 and you'll see this same scaling. This is what one gets for 'typical' first-order turning points, and that's what leads to Airy's equation.)

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