A Certain Chemical Vaporizes When Exposed to the Air $\mathrm { y } ^ { \prime } = \mathrm { ky } 2 ; \mathrm { k } < 0 \text { ? }$

True/False

A certain chemical vaporizes when exposed to the air. Suppose f(t) is the amount of chemical present. It is found that the rate of vaporization of the chemical is proportional to the amount of chemical present squared. Write a differential equation satisfied by f(t) . Does this equation accurately represent this situation: $\mathrm { y } ^ { \prime } = \mathrm { ky } 2 ; \mathrm { k } < 0 \text { ? }$