7.(This one is a gift) Consider a homogeneous differential equation, p(x, y) dx + q(x, y) dy = 0, where the coefficients p(x, y) and q(x, y) satisfy the special homogeneity condition: p(Ax, Ay) = X®p(x, y); q(Ax, Ay) = X®q(x, y). Explain why it is always possible to express any such homogeneous differential equation in the form dy F (!) . dx

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