Find the solution to the given system that satisfies the given initial condition.

Bold x prime$($t$)$equalsStart $3$ By $3$ Table $1$st Row $1$st Column $42$nd Column $03$rd Column negative $42$nd Row $1$st Column $02$nd Column $73$rd Column $03$rd Row $1$st Column $42$nd Column $03$rd Column $4$ EndTable

x$($t$),$

$($a$)$ x$(0)$equalsStart $3$ By $1$ Table $1$st Row $1$st Column negative $12$nd Row $1$st Column $43$rd Row $1$st Column negative $2$ EndTable

$($b$)$ x$($minuspi$)$equalsStart $3$ By $1$ Table $1$st Row $1$st Column $02$nd Row $1$st Column $13$rd Row $1$st Column negative $1$ EndTable

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Part $1$

$($a$)$ x$($t$)$equals

$$

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$($Use parentheses to clearly denote the argument of each$$ function.$)$