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Sourav Jana Asked a Question
July 21, 2020 10:46 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

If general solution of the differential equation ay+ by +cy +dy=0 is linearly spanned by e", sin x and cos x, then which one of the following holds? (a) atb-c-

If general solution of the differential equation ay+ by +cy +dy=0 is linearly spanned by e", Sin x and cos X, then which one of the following holds? (a) atb-c- d= 0 (6) a +b+c+d=0 (c) a - b +c-d=0 (d) a-b-c- d= 0 34.
  • 3 Answer(s)
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  • Arzoo Best Answer
    See the attachment
    • cropped7560712721782706260.jpg
    Likes(1) Reply(0)
  • Deepak singh thankyou
    proof of option b , a is also correct
    • cropped104537140.jpg
    Likes(0) Reply(5)
    Deepak singh
    option b is true
  • Shashi ranjan sinha thankyou
    see the attachment. first option is also satisfied with the values of a,b,c,d....so it is also correct
    • cropped7914135974820089827.jpg
    Likes(0) Reply(5)
    Sourav Jana
    okay but please see this . is it wrong?
    • cropped9177745386339649443.jpg
  • Vishal goswami
    in this question solutions is the linear span by e^x,sinx and cosx. and diff. eq. is homogeneous so they satisfied the eq., when we put e^x in the equation we get options b, but wh...
    Show more
    Likes(0) Reply(5)
    Sourav Jana
    but I get option a & b
  • Sourav Jana
    but I think ans is a & b
    Likes(0) Reply(2)
    Sourav Jana
    but I see that given ans is b
  • Chandra dhawan
    ans b is correct dear....
    Likes(1) Reply(1)
    Chandra dhawan
    see
  • Vaishali sharma
    i think it should be option b
    Likes(0) Reply(0)
  • Vishal goswami
    options b is true.
    Likes(0) Reply(0)
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