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

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