39. (a) Show that a one-parameter family of solutions of the equation 102 (4xy + 3x²) dx + (2y + 2x²) dy = 0 is x³ + 2x²y + y² = c. (b) Show that the initial conditions y(0) = -2 and y(1) = 1 determine the same implicit solution. (c) Find explicit solutions y₁(x) and y₂(x) of the differential equation in part (a) such that y₁ (0) = -2 and y₂(1) = 1.

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