Find the Solution of the Initial-Value Problem $\frac { d y } { d t } = 2 t \sqrt { 1 - y }$

question 5

Multiple Choice

Find the solution of the initial-value problem $\frac { d y } { d t } = 2 t \sqrt { 1 - y }$ , $y ( 1 ) = 0$ .

• A) \(2 \sqrt { y - 1 } = 3 - t ^ { 2 }\)
• B) \(\frac { 2 } { \sqrt { y - 1 } } = 3 - t ^ { 2 }\)
• C) \(2 \sqrt { 1 - y } = 3 + t ^ { 2 }\)
• D) \(\frac { 2 } { \sqrt { 1 - y } } = 3 + t ^ { 2 }\)
• E) \(2 \sqrt { 1 - y } = - 3 + t ^ { 2 }\)
• F) \(\frac { 2 } { \sqrt { 1 - y } } = - 3 + t ^ { 2 }\)
• G) \(2 \sqrt { 1 - y } = 3 - t ^ { 2 }\)
• H) \(\frac { 2 } { \sqrt { 1 - y } } = 3 - t ^ { 2 }\)

---

Definitions:

Customizing Department

A specialized department within a company focused on modifying and tailoring products to meet specific customer requirements.

Job-Order Costing System

An accounting system that assigns costs to specific jobs or batches and is used to determine the cost of manufacturing each order.

Direct Labor-Hours

Aggregate of hours employees contribute directly to the production process of goods or services.

Predetermined Overhead Rate

An estimated overhead rate used to apply the estimated cost of production overhead to individual products or job orders based on a particular activity, such as machine hours or labor hours.