Two solutions to $\displaystyle {y}{''}-{7}{y}'+{6}{y}={0}$ are $\displaystyle {y}_{{1}}={e}^{{{t}}}$, $\displaystyle {y}_{{2}}={e}^{{{6}{t}}}$.

a) Find the Wronskian.

$\displaystyle {W}$ = Preview Question 6 Part 1 of 2  

b) Find the solution satisfying the initial conditions $\displaystyle {y}{\left({0}\right)}=-{2},\ {y}'{\left({0}\right)}={18}$

$\displaystyle {y}=$ Preview Question 6 Part 2 of 2