Solve the Initial Value Problem A) $y = \frac { 2 } { 3 } x ^ { 3 } - \frac { 3 } { 2 } x ^ { 2 } - 3$

question 238

Multiple Choice

Solve the initial value problem.
- $$\frac { \mathrm { d } ^ { 3 } \mathrm { y } } { \mathrm { dx } ^ { 3 } } = 4 ; \mathrm { y } ^ { \prime \prime } ( 0 ) = 3 , \mathrm { y } ^ { \prime } ( 0 ) = - 3 , \mathrm { y } ( 0 ) = 5$$

• A) \(y = \frac { 2 } { 3 } x ^ { 3 } - \frac { 3 } { 2 } x ^ { 2 } - 3\)
• B) \(y = \frac { 2 } { 3 } x ^ { 3 } + \frac { 3 } { 2 } x ^ { 2 } - 3 x + 5\)
• C) \(y = 5\)
• D) \(y = \frac { 4 } { 3 } x ^ { 3 } + \frac { 3 } { 2 } x ^ { 2 } - 3 x + 5\)

---

Definitions:

Economic Development

The process by which a nation improves the economic, political, and social well-being of its people.

State Policy

Formal guidelines or courses of action adopted by a government to address public issues and achieve desired outcomes.

Early Industrialization

The phase during the 18th and 19th centuries when societies transitioned from agrarian to industrial economies, marked by the development of factories and machinery.

Tariff Barriers

Economic measures implemented by countries to restrict imports by increasing the cost of foreign goods through taxes.