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Thread: How do I solve these first order differential equations?

  1. #1
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    How do I solve these first order differential equations?

    i) $\displaystyle dy/dx = (x-4y)/(4x+y)$

    ii) $\displaystyle dy/dx = (x^2 + 2y^2)/xy$

    I'm honestly not sure of the method. Google didn't give me much help either

    Thanks in advance to anyone who can help.
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    both are homogeneous, put $\displaystyle y=tx.$
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