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1 point) Consider the initial value problem 2ty’ = 6y, y(-2) = 8. a. Find the value of the constant C and the exponent r so that y = Ct" 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)

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1 point) Consider the initial value problem
2ty’ = 6y, y(-2) = 8.
a. Find the value of the constant C and the exponent r so that y = Ct&quot; is the solution of this initial value
problem.
y
help (formulas)
b. Determine the largest interval of the form a &lt; t &lt; 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)

 
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