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

question 39

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) \(y ( 1 ) = 3.1622\).
• E) \(y ( 1 ) = 2.6622\).

---

Definitions:

Knowledge Of Falsity

Awareness or acknowledgment by a person that a statement or piece of information is false or misleading, often a crucial element in fraud and defamation cases.

Concealment

The act of hiding information or a fact, often leading to legal implications if material facts are withheld in a transaction.

Claim Of Fraud

A legal allegation that an individual or entity intentionally deceived another to cause harm or loss, typically financial.

Real Property

Land and anything permanently attached to it, such as buildings or structures, which is considered immovable.