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  • Perplex
    IB Math AAHL
    /
    Function Theory
    /

    Problem Bank

    [Maximum mark: 11]

    The differential equation

    ​
    dxdy​−xy​=4xy+xy3​+5yx3​
    ​

    has a solution ​y=f(x). It is given that ​f(x)>0​ for any ​x>0.

    1. Using the substitution ​y=vx, find ​f(x).

      [9]
    2. Determine whether ​f(x)​ is even, odd, or neither.

      [2]

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