Problem #5: Consider the differential equation (6x + 2xy) = 5x + 6x + 21¹ Problem #5(a): Problem = 5(b): (a) For which value of n is the first-order (nonlinear) differential equation above homogeneous. (b) For the value of n found in part (a), use the method of homogeneous equation to find in explicit form the unique solution of the differential equation above that satisfies the initial condition y(1) = -6. Enter your answer as a symbolic function of x, as in these examples 4

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