Q3_1030

Q3_1030 - Math 415.01 — Quiz 3 — 10:30 recitation(Vutha...

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Unformatted text preview: Math 415.01 — Quiz 3 — 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 : o I (1) (12 pts) Sketch a graph of f (y) versus y for the given differential equation. Draw the phase line and sketch several solutions. Also find all equilibria and their stability. (2) (13 pts) Find the value of b that makes the following equation exact, and solve the equation. (2:312 + bxy)da: + 2:2(y + 2)dy = 0 f0!) 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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This note was uploaded on 07/26/2011 for the course MATH 415 taught by Professor Costin during the Spring '07 term at Ohio State.

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Q3_1030 - Math 415.01 — Quiz 3 — 10:30 recitation(Vutha...

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