quiz1_sol_ma262

# quiz1_sol_ma262 - MATH 262 Quiz 1 September 1 Name 0:“...

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Unformatted text preview: MATH 262 Quiz 1 September 1 Name: 0:“ Section: PID: Solve the problem systematically and neatly and show all your work. (3pts) 1. Find the equation of the orthogonal trajectories to the curves with equation y2:2m+c. a? @aaHWVi vuaryww—awwm 3'2: awn, Am slams Wt 311 = * 1L— ; _y W a! .L X y 2/ :2 :3 Jr:— 0/ 7?? dx y 0) Ma 31* z -y (2) 3W“ PW? _"r"‘f”l ply/at r DYbl’aﬂran ﬁnger/forms \ — .; (3pts) 2. Do you think that the initial value problem y dy /nl>’l: "XJ'C! 35:331n(m+y),y(0)=1 y : a ax (I ((1: 19 J has a unique solution? Justify your answer. 5:4; fix-.3):- )cS/vilx+\/) PW'C v3 (0);) ._——— jqc' - X Cam—#71) ag’ (3pts) Bonus Problem : Solve dy_3:2+3y2 E_ 2223; ' *8: m MAS/hm m V131;- Ji o’y V: x =3 thx =5 7;: Warm/1 ‘X j): , J. :; ’27 '+ Z. X r ?/V 230/ d __L 3 t} v+ «35:5 1 W + -;,-v _§ 2L! #L I I'M/L 11> 1N air a! -:_ _——-e MU U 7C -;> [hO-rul): )hIXI4-C, =5 HVL'; lxl-ec’ : C’X W“ C y t K}: “’x _ 7. :5 l4 "1 -: CX 47 maﬁa: ...
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quiz1_sol_ma262 - MATH 262 Quiz 1 September 1 Name 0:“...

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