Use Euler's Method with Step Size $0.25$ To Estimate $y ( 1 )$

question 5

Multiple Choice

Use Euler's method with step size $0.25$ to estimate $y ( 1 )$ , where $y ( x )$ is the solution of the initial-value problem. Round your answer to four decimal places.
$$y ^ { t } = 4 x + y ^ { 2 } , y ( 0 ) = 0$$

• A) \(y ( 1 ) = 4.1622\)
• B) \(y ( 1 ) = 1.6622\)
• C) \(y ( 1 ) = 3.1622\)
• D) \(y ( 1 ) = 2.6622\)

---

Definitions:

Capacity Analysis

Identifying the necessary manufacturing capacity a business must have to respond to varying product demands.

Time-Driven Activity-Based Costing

A costing methodology that assigns costs to products or services based on the actual time spent on each activity, allowing for more accurate and dynamic cost assessments.

Customer Service Department

This department is responsible for providing assistance and advice to the customers of a company, handling inquiries, complaints, and support requests.

Capacity Analysis

The procedure of figuring out what level of manufacturing capacity is needed by a company to adjust to its products' changing needs.