Two solutions to $\displaystyle {t}{y}{''}+{y}'={0}$ are $\displaystyle {y}_{{1}}={\ln{{\left({10}{t}\right)}}}$, $\displaystyle \ \ {y}_{{2}}={\ln{{\left({4}\right)}}}$.

a) Find the Wronskian.

$\displaystyle {W}$ = Preview Question 6 Part 1 of 3  

b) If the solution satisfying the initial conditions $\displaystyle {y}{\left({2}\right)}={0},\ {y}'{\left({2}\right)}={4}$ is written as $\displaystyle {y}{\left({t}\right)}={C}_{{1}}\ {y}_{{1}}+{C}_{{2}}\ {y}_{{2}}$ then what are the values of $\displaystyle {C}_{{1}}$ and $\displaystyle {C}_{{2}}$

$\displaystyle {C}_{{1}}=$ Preview Question 6 Part 2 of 3  

$\displaystyle {C}_{{2}}=$ Preview Question 6 Part 3 of 3