Plz help me solve this problem~! Thx a lot. Providing more details.

2. How do temperature uctuations on the surface affect the temperature below ground? Let T(x. t) be the temperature at distance x below ground at time 1'. According to the heat equation 3T 321" Ek forx,t>0 [1) and on the surface assume the oscillating condition T[0.t)=To+Acoswt fort>0 [2] where the frequency w and amplitude A are positive constants. The solution of (1) and (2) is T(x,t)=T0+Ae_V \"/kacos(wtVco/2kx]. [3) So underground the temperature oscillates with the same frequency as on the surface, but with a smaller amplitude and a phase delay which depend on the depth. (a) Use (3) to nd the frost line in Lowell (the greatest depth at which ground water freezes]. Assume the annual temperature varies between 16 F and 82 F and use Ic= 10*5 ftZ/s. (b) With the data in (a), how many days after the lowest temperature on the surface does it freeze at the frost line? MATH.5500 students (Bonus for MATH.4500 students) Verify (3) satises (1)