Find the Solution of the Initial-Value Problem and Use It $t = 10$

question 61

Short Answer

Find the solution of the initial-value problem and use it to find the population when $t = 10$ .
$$\frac { d P } { d t } = 0.4 P \left( 1 - \frac { P } { 2000 } \right) , P ( 0 ) = 100$$

---

Definitions:

Estrogens

A class of hormones, including estradiol, that are more prevalent in females; they are associated with the development of the secondary and primary sex characteristics and with sexual behavior.

Androgens

A class of hormones, including testosterone, that are more prevalent in males; they are associated with the development of the secondary and primary sex characteristics and with sexual behavior.

Ovaries

The female gonads (sex glands); they release the sex hormones and produce the cells that females use for sexual reproduction, called eggs.

Testes

The male gonads (sex glands); they release the sex hormones and produce the cells that males use for sexual reproduction, called sperm.