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Deepak Patra posted an Question
January 15, 2022 • 23:04 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q.19-consider the following statements, (0) let fix) be odd and x(t) be a solution of x' = ftx). then -x(t) must also be a solution of x = ftx). x(0) = () let f

Q.19-Consider the following statements, (0) Let fix) be odd and x(t) be a solution of x' = ftx). Then -x(t) must also be a solution of x = ftx). x(0) = () Let fC) be even and let xo() be a solution of r = f) such that 0. Then xo(t) is an odd function. The correct statements are (a) lonly (b) ll only (c) Both I and (d) Neither nor II

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    Piyush pachauri Best Answer

    Take f(x) = x which is a odd function. statement 1 is discarded as x^2/2 is a solution but -x^2/2 is not. statement 2 is correct.

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