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Math Help - Find The iterval??

  1. #1
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    Find The iterval??

    Let F(x)=x + (e^(x-1))/x
    Find the largest interval on which F is a solution to the I.V.P
    dy/dx + ((1-x)/x)y = 2-x , y(1) = 2
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  2. #2
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    Quote Originally Posted by matty888 View Post
    Let F(x)=x + (e^(x-1))/x
    Find the largest interval on which F is a solution to the I.V.P
    dy/dx + ((1-x)/x)y = 2-x , y(1) = 2
    You need to have x\not =0. Then you are told that y(1)=2 therefore, 1 has to be included in that interval.
    Thus, this forces for x>0. The interval is (0,\infty).
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