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Prerna Chaudhary posted an Question
September 06, 2021 • 03:52 am 30 points
  • IIT JAM
  • Mathematics (MA)

Let y(x) be the solution of the differential equation+y= f(), for x 20, y(0) = 0, where f)= { 0sx<1 then yx) = x21 (a) 2(1-e*) when 0 sx<1 and 2(e 1)e whenx21 (

Let y(x) be the solution of the differential equation+y= f(), for x 20, y(0) = 0, where f)= { 0sx<1 Then yx) = x21 (A) 2(1-e*) when 0 Sx<1 and 2(e 1)e whenx21 (B) 2(1-e) when 0 Sx<1 and 0 when x 21 (C) 2(1- e"*) when 0

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    Prerna chaudhary 1

    correct answer is A

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    when f(x)=0 then dy/dx+y=0. its so y= ce-x

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    but how will we find the value of c

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    put x=1 in first results we get y= 2((1-e-1) using this condition in second we have c=2(e-1)

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    please solve for c value

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    check

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    thank you

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    we'll come

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    case second for x>1 so we calculate new intial condition

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    okay 👌👌

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