Determine whether the equation is exact. If it is$,$ then solve it$.$

$e^t(2y-7t)dt+(3+2e^t)dy=0$

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A$.$ The equation is exact and an implicit solution in the form $F(t,y)=C$ is $=C,$ where C is an arbitrary constant.

$($Type an expression using $t$ and $y$ as the variables.$)$

B$.$ The equation is not exact.