Answer: T = Tenv + Ce-kt.
- A T = Tenv + Ce-kt
- B T = Cekt
- C T = Tenv - kt
- D T = Tenv + kt
Correct answer: A. T = Tenv + Ce-kt
Explanation: Let u = T - Tenv. du/dt = -ku. u = Ce-kt. T = Tenv + Ce-kt.
The general solution y=Ax² represents an entire FAMILY of curves, one for each value of the arbitrary constant A; a particular solution (fixed by an initial condition) selects exactly one curve from this family.
Concept context
Equations involving derivatives and their solutions