Solve the given initial value problem.

y triple prime minus $4$ y double prime plus $10$ y prime minus $12$ y equals $0$y$4$y$+10$y$12$y$=0$;

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$$y$(0)$equals$=1,$

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y prime left parenthesis $0$ right parenthesisy$(0)$equals$=0,$

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y double prime left parenthesis $0$ right parenthesisy$(0)$equals$=0$

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Part $1$

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