Consider the Differential Equation $\frac { d y } { d t } = t ^ { 2 } - 1$

question 91

Essay

Consider the differential equation $\frac { d y } { d t } = t ^ { 2 } - 1$ .(a) What are the equilibrium solutions?
(b) Sketch the direction field for the given differential equation.

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Definitions:

Marginal Utility

The additional satisfaction or utility that a consumer derives from consuming one more unit of a good or service.

Income

Money that an individual or business receives in exchange for providing a good or service or through investing capital.

Utils Per Dollar

An economic concept used to measure the amount of utility or satisfaction a consumer receives per dollar spent.

Fair Insurance Policy

An insurance contract that is equitable, offering reasonable terms and conditions to all parties involved.