Question: Consider the differential equation y' + a(t)y= b(t). Suppose that a(t) is continuous everywhere on R except when t = 2,5, 10. Further suppose

Consider the differential equation y' + a(t)y= b(t). Suppose that a(t) is

Consider the differential equation y' + a(t)y= b(t). Suppose that a(t) is continuous everywhere on R except when t = 2,5, 10. Further suppose that b(t) is continuous everywhere on R except when t= -2, -5.-10. (a) What can be said about a solution to this differential equation when the initial condition y(0) = 2 is imposed? (b) What can be said about a solution to this differential equation when the initial condition y(12) 5 is imposed? State any results that you use.

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