$(1$ point$)$ The solution of a certain differential equation is of the form

$y(t)=$aexp$(6t)+$bexp$(9t)$

where a and $b$ are constants.

The solution has initial conditions $y(0)=1$ and $y^{\text{'}}(0)=2.$

Find the solution by using the initial conditions to get linear equations for a and $b.$

$y(t)=$

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