USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 1.27 TO 1.29 Consider the differential equation Y = 3t – 2y. Let y=g(t) be a solution to the dt differential equation with the initial condition g(0)...

Extracted text: USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 1.27 TO 1.29 Consider the differential equation Y = 3t – 2y. Let y=g(t) be a solution to the dt differential equation with the initial condition g(0) =k where k is a constant. Euler's method, starting at t=0 with a step size of 1 gives the approximation g(2) = 4.5. 1.27 Which option(s) is(are) correct using Euler's recursion method: L to = 0; Yo =k II. t, =1.0; y, =-k 1.28 Which option(s) is(are) correct using Euler's recursion method: I t, = 2; y, = 3+k I. t, =3 y3 =3-k 1.29 The value of k is