Question: Suppose Euler's method with h = 0.5 is used to the initial-value problemy =t(1+ty 5 ), {version:1.1,math:(y'=t(1+frac{ty}{5}),)}, y (1) = 2.Which one of the following

Suppose Euler's method withh= 0.5 is used to the initial-value problemy

=t(1+ty

5

),

{"version":"1.1","math":"\(y'=t(1+\frac{ty}{5}),\)"},

y(1) = 2.Which one of the following is closest to the approximation ofy(2)?

Question 2 options:

a)

4.06

b)

2.59

c)

4.68

d)

6.68

e)

3.86

f)

5.63

Suppose Euler's method withh= 0.5 is used to the initial-value problemy=t(1+ty5 ),{"version":"1.1","math":"\(y'=t(1+\frac{ty}{5}),\)"},y(1)

Question 2 (2 points) J Saved Suppose Euler's method with h z 0.5 is used to the initial-value problem )7, = ta + % ), , y(1) = 2. Which one of the following is closest to the approximation of y(2)? O a) 4.06

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