(2) Find the integrating factors of the differential equations below (link equations with product rule). Use the integrating factor and Fundamental Theorem of Calculus to solve the equation. If an initial condition is given, find the corresponding particular solution. Throughout, primes denote derivatives with respect to z. (a) xy' + 3y = 2x5, y(2) = 1. (b) zy' = 3y+r¹ cos T, y(2T) = 0. (c) y' = 2xy + 3x² exp(r²), y(0) = 5.

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