2. (a) Prove that the substitution u = y¹-n reduces the Bernoulli's equation dy + P(x)y = f(x)y”, n ‡ 0,n ‡ 1 dx to a linear equation in u. (b) Find the solution of the nonlinear IVP dy dx x2 - 2xy = 3y³, y(1) = 1.

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