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Math Help - why isnt this function linear?

  1. #1
    Senior Member
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    why isnt this function linear?

    if i do enough of these problems i will eventually get it....

    ok i see that the problem is homogeneous, but why cant it be linear?

    x dy/dx = ye^(x/y) - x

    i rewrote it in the form....

    dy/dx - (ye^(x/y))/x = -1
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    y'+P(x)y=Q(x) is a linear ODE, note that in your rewriting P(x) depends of x and y, so it's not linear.
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