Verify that the indicated function is an explicit solution of the given differential equation. Assume an acpropriate interval I of definition for each solution

$\frac{dy}{dt}35y=49$;$,y=\frac{7}{5}-\frac{7}{5}{e}^{-35t}$

When $y=\frac{7}{5}-\frac{7}{5}{e}^{-35t},$