Verify that the trapezoidal rule has order of accuracy 2, while the Euler methods have order of accuracy 1.Find the coefcient vectors alpha and beta...

1.Verify that the trapezoidal rule has order of accuracy 2, while the Euler methods have order of accuracy 1.

2.Find the coefficient vectors alpha and beta for the trapezoidal method. Find also the stability region of the trapezoidal method.