Select a Direction Field for the Differential Equation $y ^ { \prime } = y ^ { 2 } - x ^ { 2 }$

question 45

Essay

Select a direction field for the differential equation $y ^ { \prime } = y ^ { 2 } - x ^ { 2 }$ from a set of direction fields labeled I-IV.

---

Definitions:

Sociology

The scientific study of society, social relationships, social interaction, and culture of everyday life.

Communist Manifesto

A political document written by Karl Marx and Friedrich Engels that presents the principles of communism and advocates for the proletariat's class struggle to overthrow capitalist societies.

Brym and Lie

Sociologists known for their contributions to the study of social dynamics and structures.

Hypothesis

A proposed explanation or assumption for a phenomenon, placed forward as a basis for further investigation or experimentation.