Rajat Jain posted an Question
April 28, 2020 • 02:59 am 30 points
  • IIT JAM
  • Mathematics (MA)

Consider the ode y'(x) = f(y(x) on r. if f is an even function and y is an odd function, then (a) (c) -y(x) is also a solution. -y(-x) is also a solution. (b) (

Consider the ODE y'(x) = f(y(x) on R. If f is an even function and y is an odd function, then (A) (C) -y(x) is also a solution. -y(-x) is also a solution. (B) (D) y-x) is also a solution. y(x)y(-x) is also a solution.

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  • Priyadarshan Choursiya best-answer

    see attachment

    cropped7110176633802294819.jpg
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    I don't understand. please explain again

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    here you have to go from options. first you assume that (a) option is true, so the function given to you is the solution. put that into given DE. if you got same DE as given then it will be solution. otherwise it is not

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    in option (a) u see that you got same DE but in b you have extra -ve sign so it is not solution

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