Separation of variables solution to solved problems

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    06-Aug-2015

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  1. 1. Solutions to solved problems
  2. 2. ckdxydy kdxydy kdxydy y k dx dy 0 ckxyckx y 2or 2 2 2 Guide
  3. 3. 22 1'1 y dx dy xyyx Guide 0 1 1 2 2 x dx y dy x dx y dy cx y c x dx dyy 1ln 1 1 1 2 ycxy cx y 1ln1 1ln 1 11ln cxy Pareho lang yan
  4. 4. Guide 0 x dx y dy x dx y dy x y dx dy cxy c x dx y dy lnln cxyc x y cee cxy lnln
  5. 5. Guide dxxdyy x dx dy y 2 2 1 1 cxyy cdxxdyy 3 3 12 2 1 2 1 cxyy 32 236
  6. 6. Guide 0 sin cos cos sin dy y y dx x x cyx cdyydxx sinlncosln cottan xcy c x y ce yx cossin cos sin sinlncosln
  7. 7. Guide cydyyxdx dy y y xdx tansec 0 cos tan 2 2 cyx cyx 22 2 2 12 2 1 tan tan
  8. 8. Guide cdyydxxx 2 ln c y xxx 1 2ln2 22

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