Question: 1. Given the 1st order linear equation y' - 3y = 2x . a. Use the method of undetermined coefficients (Sect. 3.5) to find the

1. Given the 1st order linear equation y' - 3y = 2x . a. Use the method of undetermined coefficients (Sect. 3.5) to find the general solution to the DE. (6 pts) b. Theorem 1 (p. 49) guarantees a unique solution to such a DE given a particular initial condition. Show that you get the same solution as above using the integrating factor approach (Sect. 1.5) (6 pts)

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