The solution of a differential equation has a relative maximum of y = 40.

The solution of a differential equation has a relative maximum of y = 40.

assuming that the solution and its exit exist and are continuous for every t, determine the

value of t for which one has this maximum (i.e., find tm such that y (tm) = 40). It is possible

to answer this question without, however, resolving the differential equation

y'-6y= 4-e8t