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Unformatted text preview: Math 415.01 - Quiz 2 — 10:30 recitation (Vutha) The following quiz is worth 25 points. You have 20 minutes to attempt it. Please Show
all work. Answers without work will receive no credit. You may use both sides of the paper. namemumber : Vbi Wok e | (1) (17 pts) Solve the given initial value problem to ﬁnd 3. unique solution, and ﬁnd the
interval of existence. ,_ 2:122
_3+2y' 3; 9(1) = 0 (2) (8 pts) Without solving the given initial value problem, find the largest interval on
which the solution of the problem is certain to exist (it2 — t — 6)y’ + Sty = cos(t)1 y(0) = 1 ...
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