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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