Problem 1. Consider situation discussed in class where an object of temperature

Question

Problem 1. Consider situation discussed in class where an object of temperature T(t) is cooling/heating in environment of constant temperature TE. (a) From Newton?s law we have that T = K(TE - T), t > 0; T(0) = T0. Show how to find the solution of this ODE. (b) More generally in heating/cooling it is reasonable to expect the temperature difference d(t) = T(t) - TE to satisfy d=f(d), where the function f is unknown. Assume that d is small, and Taylor expand f. Keep only the first two terms. Then on physical grounds, argue why the first term should vanish. Finally, compare/contrast this new ODE to the one arising from Newton?s law.

Explanation / Answer

Answer:

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.