a. Find the value of the constant $C$ and the exponent $r$ so that $y = Ct^r$ is the solution of this initial value problem. $y = t^3$ help (formulas) b. Determine the largest interval of the form $a < t < b$ on which the existence uniqueness theorem for first order linear differential equations guarantees existence of a unique solution. $0 < t < \infty$ help (inequalities) c. What is the actual interval of existence for the solution (from part a)? $(-\infty, \infty)$ help (inequalities)
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