Question: Please explain the steps clearly and explain in detail. For 2b,c, you should use the existence and uniqueness theorem to find the initial t-value where

Please explain the steps clearly and explain in detail.

For 2b,c, you should use the existence and uniqueness theorem to find the initial t-value where there may not be a unique solution, and then use the differential equation itself to determine how to define x_0 so that solutions do not exist/infinitely many solutions exist

Consider the differential equation sin(t) - 93"(15) = cos(t) 3:03) 1. (a) Find the general solution. (b) Find an initial condition for which the solution does not exist. ((3) Find an initial condition for which the solution is not unique

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