Consider the initial value problem 2ty' = 6y, y(1) =-2.

a. Find the value of the constant C and the exponent r so that y = Ctr is the solution of this initial value problem. y = help (formulas)

b. Determine the largest interval of the form a < t < b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. help (inequalities)

c. What is the actual interval of existence for the solution (from part a)? help (inequalities)