q3b_soln - Math 415.01 - Quiz 3 - 11:30 recitation (Vutha)...

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Unformatted text preview: Math 415.01 - Quiz 3 - 11:30 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. name.number : V (A 'H.\C3L o I 4+0, real» cal-4M (1) (13 pts) Is the following equation exact ‘? If yes, find; so ution.-H~ak, on y . (yew cos(2a:) — 2e” sin(2m) + 2:5)d2: + (xe’y cos(3m) — 3)dy = 0 (2) (12 pts) Find all equilibria and stability for the given equation. Also draw a phase line and sketch a few solutions. %=ay2—by, a>0, b>0,y020 O Vl: yexllooscbc) ‘ ZQXYSMZX + 1X N ‘— xefyCOSCZX) :3 M7 = 7 (flex) Cos (2x) + eI‘Y. CosClx) ~1C€ifl .Sm Clx) Nx: xCe/xl.y).co§£lx) -+ (0.6% 0031} + X67 ~15!“ 1x) U? 50 efim J~A7 : j @93in (3X) _5) .A7 : x eff €05 (33¢) __ x #Cmf) : (aw-C0369 ‘3/ OLX) ...
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q3b_soln - Math 415.01 - Quiz 3 - 11:30 recitation (Vutha)...

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