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Vivek Asked a Question
July 9, 2020 9:21 ampts 30 pts
  • IIT JAM
  • Mathematics (MA)

Question 19 2-0.66 the solutions of the diff eqn y +ay +by =0 ,where a and the constant.choose the correct cannot be bounded and periodic both can be bounded on

Question 19 2-0.66 The solutions of the diff eqn y +ay +by =0 ,where a and the constant.choose the correct cannot be bounded and periodic both Can be bounded on a uncountable set can ne unbound on a uncountable set can never be a periodic function with fundamental period
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  • Piyush Best Answer
    In my opinion option(ii) is correct. Option (iii) depends on the set.
    Likes(1) Reply(3)
    Vivek
    sir option 4bhi sahi diye huye hai
  • Piyush thankyou
    PFA. If you take a bounded uncountable set then every solutions should be bounded. Please correct me if I'm missing something.
    • cropped4310389721596475917.jpg
    Likes(1) Reply(6)
    Deepak singh
    e^(ax) or e^(-ax) is not bounded, see graph
  • Deepak singh
    see proof of 2 and 3 option
    • cropped47821777.jpg
    Likes(1) Reply(1)
    Deepak singh
    if any doubt ask
  • Deepak singh
    solution will be of type Ae^(-yx) where A belongs to R , and is not bounded ( see graph ) in attached
    Likes(1) Reply(0)
  • Deepak singh
    according to me , option 2 and 3 are correct , see attached above .
    Likes(1) Reply(0)
  • Arzoo
    See the attachment
    • cropped7285646576302645809.jpg
    • cropped156688125229469676.jpg
    • cropped6971686497114624377.jpg
    Likes(0) Reply(0)
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