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Chashokreddy18@gmail.com posted an Question
July 12, 2020 • 20:46 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Ode - can you please explain the following problem?(p2, q6)

Let y: R > R satisfy the initial value problem y(t) = 1 y(t) where t e R and y(0) = 0. Then which of the following is correct ? (A) y(t,) = 1 for somet, e R. y(t)> - 1 for all t e R. (B) (C)yt) is strictly decreasing inR. (D) y is increasing in (0, 1) & decreasing in (1, o).

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  • Chashokreddy18@gmail.com Tiwari

    can we solve in this way by using partial fractions?

  • Chashokreddy18@gmail.com Tiwari

    Once please check the last step in the image.

    cropped954010482.jpg
  • comment-profile-img>
    Ujjawal vishal best-answer

    option b see attached

    cropped4531110829225566486.jpg
    cropped3761199695973025816.jpg
    eduncle-logo-app

    here I didn't get the fourth step, I think it should be , log((1+y)(1-y)). Can you please explain?

    eduncle-logo-app

    nah...this is correct... its standard formula

    eduncle-logo-app

    see

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