Consider the first order differential equation a. y(-6) = 2.6. help (inequalities) b. y(-1.5) = 6.4. help (inequalities) For each of the initial conditions below, determine the largest interval a < t < bon which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. c. y(0) = 0. help (inequalities) d. y(2.5) = 6.4. help (inequalities) e. y(9) = 2.6. y' + help (inequalities) t t² - 4 -Y = et t-6

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