Question: Consider the initial value problem9y''+12y'+4y=0,y(0)=a>0:,y'(0)=-1Solve the problem and find the value of a such that the solution of the initial value problem is alwayspositive.

Consider the initial value problem9y''+12y'+4y=0,y(0)=a>0:,y'(0)=-1Solve the problem and find the value of a such that the solution of the initial value problem is alwayspositive.

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