Consider the first order differential equation a. y(-7)= 6.4. b. y(-2.5) -5.5. = For each of...

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Consider the first order differential equation a. y(-7)= 6.4. b. y(-2.5) -5.5. = For each of the initial conditions below, determine the largest interval a < t < b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. c. y(0) = 0. d. y(3.5) = 2.6. y' + e. y(13) = -2.1. t t²-9 = help (inequalities) help (inequalities) help (inequalities) help (inequalities) e² t-4 help (inequalities) Consider the first order differential equation a. y(-7)= 6.4. b. y(-2.5) -5.5. = For each of the initial conditions below, determine the largest interval a < t < b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. c. y(0) = 0. d. y(3.5) = 2.6. y' + e. y(13) = -2.1. t t²-9 = help (inequalities) help (inequalities) help (inequalities) help (inequalities) e² t-4 help (inequalities)