(a) Find the general solution to $y^{\,\prime\prime} - 8 y^{\,\prime} + 16 y = 0$.
Enter your answer as $y = \dots$ . In your answer, use $c_1$ and $c_2$ to denote arbitrary constants and $x$ the independent variable. Enter $c_1$ as c1 and $c_2$ as c2.
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(b) Find the solution that satisfies the initial conditions $y(0) = 5$ and $y^{\,\prime}(0) = 0$.
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