Consider the initial value problem, @_ 4 dt_(2t) costt2 : y(3) = 1- What can you say about existence and uniqueness of the solution. If a solution...

Please download the attachment. I just thinks these two questions are same type.

3. Consider the initial value problem, @_ 4dt_(2—t) costt2 :9). y(3) = 1- What can you say about existence and uniqueness of the solution. If a solution exists,what can you say about the maximal interval of existence of the solution. Justify your assertions carefully. 4. Consider the initial value problem, @_4 dt _ (2 —t) COS“ 92), M3) = 1. What can you say about existence and uniqueness of the solution. If a solution exists,What can you say about the maximal interval of existence of the solution. Justify your assertions carefully.