Solve the given initial value problem.

y double prime minus $7$ y prime plus $12$ yy$7$y$+12$yequals$=0$;

$$

$$y$(0)$equals$=$one half$12,$

$$

y prime left parenthesis $0$ right parenthesisy$(0)$equals$=$one fourth$14$

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Part $1$

The solution is

$$y$($t$)$equals$=$enter your response here.