Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = y ^ { 2 } , y ( 0 ) = 1$

question 28

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = y ^ { 2 } , y ( 0 ) = 1$

• A) t + 1
• B) \(\frac { 1 } { t + 1 }\)
• C) t - 1
• D) \(\frac { 1 } { 1 - t }\)

---

Definitions:

Public Good

A good or service offered to society's members at no cost, sponsored by either a private entity or the government with no intent of making a profit.

Marginal Cost

Marginal cost is the change in total production cost that comes from making or producing one additional unit of a good or service.

Public Good

A product or service that is non-excludable and non-rivalrous, meaning it can be used by many people without depleting the resource or preventing others from using it.

Demand-Side Market Failure

A situation where the demand curve does not reflect consumers' full willingness to pay for a good or service, often due to externalities or public goods.