Rajat Jain posted an Question
April 28, 2020 • 03:16 am 30 points
  • IIT JAM
  • Mathematics (MA)

If the general solution of the de x*y' + xy - 4y = x* in|x| is given by y(x) = c,x + c x)2+ kx-x lin ix, then the value of k correct upto three decimal places i

If the general solution of the DE x*y' + xy - 4y = x* In|x| is given by y(x) = c,x + C x)2+ kx-x lIn Ix, then the value of k correct upto three decimal places is

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  • Priyadarshan Choursiya Best Answer

    some misprint see attachment

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    cropped6897157613581173174.jpg
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    your solution is correct. but in book solution is done by the method of variation of parameter. and the answer matches exactly as given in question

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    so I am asking is there any difference in the solution if we use two different methods to solve a differential equation

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    no, use any method answer is same always. if there any difference in answer then it may be possible we do some mistake in calculation or rounding mistake or there is misprint.

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