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\begin{exerciseStatement}
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Find the solution to the given IVP.
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\[ {y'} t - 5 \, {y} = \frac{7}{t^{2}} \hspace{2em}
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y( 1 )= -4 \]
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\end{exerciseStatement}
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\begin{exerciseAnswer}
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\[ {y} = -3 \, t^{5} - \frac{1}{t^{2}} \]
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\end{exerciseAnswer}
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