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

question 116

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:

Leveling Mechanisms

Practices and processes in societies that function to reduce inequality and distribute wealth and power more equally among members.

Collective Well-Being

The health, happiness, and prosperity of a group considered collectively, rather than the individual well-being of its members.

Culture

A complex whole which includes knowledge, belief, art, morals, law, custom, and any other capabilities and habits acquired by humans as members of society.

Environmental Limitations

Natural or human-made conditions that restrict or shape the growth, survival, and distribution of organisms and the development of ecosystems.