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Math Help - Differential question

  1. #1
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    Differential question

    Why can both y = x - 3 and y = x + 2 both be considered solutions to the differential equation dy/dx - 1 = 0?
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  2. #2
    Super Member wingless's Avatar
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    Because,

    \frac{dy}{dx}=1

    dy = dx

    y = x + C

    So any solution in the form y=x+C is correct.
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