Verify that the indicated function is an explicit solution of the given differential equatio

$\frac{dy}{dt}25y=45$;$,y=\frac{9}{5}-\frac{9}{5}{e}^{-25t}$

When $y=\frac{9}{5}-\frac{9}{5}{e}^{-25t},$

$\frac{dy}{dt}=$

$-$

Thus, in terms of $t_{,}.$

$\frac{dy}{dt}25y=25(\frac{9}{5}-\frac{9}{5}{e}^{-25t})$

$=$

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