math244 winter05 exam1 key - Exam 1 Math 244 Winter 05...

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Unformatted text preview: Exam 1 Math 244 Winter 05 Name *(ZE Show all work for full credit l.)(36)Find the type (show work for this), and solve the following D.E.'s. Find explicit solutions where possible. Use initial conditions if given to find particular Solutions. a) X(X+y)y'= y(x—y) (,_——1 L_.._...( _ HM “g éagz VVV“ ‘4“ Ch? 2 6a DH. LA *‘KGW a 2 cw awn. \ —-—————— (76’ (WX‘U “ \ WK 3% 34‘ “/x“ 4;) WK +24%») VNKWA;L SWNLNét ' iCl—F?) _Z{_%Z__,Z/__:.LZ' . LI 2__ _ Kg: % H”? % 4‘?!) F172 ' \Jch’ 3 "B: we 4 (L5) J“’S)>><i»<~r WNW \ J.» +« is! s g ‘40 ‘hf 3:2 t 3%»ch " “ya <’ /%+ V”? ‘° (6» w” X gt»). buck 74 331,3 / g +, C 7’ + We»; : \M (M 1L} (3% ‘ V 4“ (fig/z h 2):: kag— KMZE‘}lf-C. : \V‘m “CT; "*0 -‘ l/M(’)L:é;} “if a .. w. >53 “nu 5y 5‘ g g M _ % Wfi‘dg ; ’33ch Lads.“ €31 “21; \ ja—W "Sn/(2‘5“ <3 5 (($42 M4LKLN/e ‘01 (A ; QLMWW» » 3/2 C: : (742w) : g X(x.‘+~(3yzfl/\z (wewqu (A‘JWI‘FL/ M:ZKC)(K ...
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