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Winter 2023 Final Exam) Consider the initial value problem (IVP): y(0) =4. (a) (4 marks) Find the solution to this IVP. Show all your steps. (b) (2 marks) The continuous solution is valid for which values of ? Justify your answer. (c) (2 marks) Below are two slope fields with Ax = - . On the left is the IVP above, and on the right is for a slightly different equation. Sketch a solution with y(0) = = on each slope field. Make sure they are clearly visible. Slope Field for dy = 2y2 dy = 2y dx Slope Field for d.x y 3 2 2 1III t -> t 2 3 1 2 3 (d) (2 marks) The solution of the IVP on the right is y() = Test and it is valid for all -co