GATE XE (Engineering Sciences) 2013 - Question 20

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Section: Engineering Mathematics | Marks: 2

The general solution of the differential equation ݔଷௗయ௬ ௗ௫య+ ݔଶௗమ௬ ௗ௫మ+ ݔ ௗ௬ ௗ௫−ݕ= 0, ݔ> 0 is

Figure for question 20, GATE XE (Engineering Sciences) 2013

  • A. ܥଵ ௫+ ௫/ଶቄܥଶcosቀ√ଷ ଶݔቁ+ ܥଷsin ቀ√ଷ ଶݔቁቅ
  • B. ܥଵݔ+ ݔ ଵ/ଶቄܥଶcosቀ√ଷ ଶ݈݋݃ ௘ݔቁ+ ܥଷsin ቀ√ଷ ଶ݈݋݃ ௘ݔቁቅ
  • C. ܥଵ ௫+݁ ௫/ଶቄܥଶcosቀ√ଷ ଶݔቁ+ ܥଷsin ቀ√ଷ ଶݔቁቅ
  • D. ܥଵݔ+ ݔଵ/ଶቄܥଶcosቀ√ଷ ଶ݈݋݃ ௘ݔቁ+ ܥଷsin ቀ√ଷ ଶ݈݋݃ ௘ݔቁቅ

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