x(t)= Temperature of an object at timet.

(k < 0)

T= surrounding cooler temperature.

Given:

(dx/dt) = k(x(t) - T)

Deriveusing differential equations and show it equals:

x(t) = T + Ce^kt

WhereCis a constant.

Attempt:

dx = k(x(t) - T) dt

Then integrate both sides?