IIT JAM
Ankur Rao Asked a Question
January 25, 2021 5:22 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

If f(x) is an odd function and x() is a solution of x = f(x). then which of the following is/are also a solution of the given differential equation? kx(t), wher

If f(x) is an odd function and x() is a solution of x = f(x). then which of the following is/are also a solution of the given differential equation? kx(t), where k is a positive constant kr(t ) for some negative value of k -x(1) None of these
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  • Satpal singh
    i forgot to mention tht thing.
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  • Satpal singh
    all these cases r true only if f is a linear function
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    Ankur Rao
    but I think option b and c is true in general
  • Satpal singh
    a,b,c, are true options
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  • Satpal singh
    if option b is right then option c will be automatically right
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  • Satpal singh
    see this attachment
    • cropped7444354378386075436.jpg
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  • Satpal singh thankyou
    see this attachment
    • cropped7362877170998341711.jpg
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    Ankur Rao
    why did you take k outside in option a