Suppose That Y = F(t) Satisfies the Differential Equation $y ^ { \prime }$

question 31

Multiple Choice

Suppose that y = f(t) satisfies the differential equation $y ^ { \prime }$ = $t ^ { 2 }$ + 3y, f(0) = 2. If Euler's method with $\mathrm { n } = 10$ is used to construct an approximation p(t) to f(t) for 0 ≤ t ≤ 1, find p(0.1) .

• A) 2.2
• B) 2.6
• C) 3.1
• D) 6.0
• E) none of these

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Definitions:

Self-Report

A method of gathering data where individuals provide information about themselves, often used in surveys and questionnaires.

Scientific Method

A systematic and logical approach to discovering how things in the universe work, involving observation, hypothesis formation, experimentation, and conclusion.

Experiment

A scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact.

Dependent Variable

In an experiment, the variable that is measured to determine how it was affected by the manipulation of the independent variable.