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

Question

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The Answer of 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

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

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