Use the vectorized Euler method with h = 0.5 to find an approximation for the solution to the given initial value problem on the specified interval:
y" + ty' + 2y = 0; y(0) = 4, y'(0) = 0 on [0,2].
With x(t) = y(t) and x'(t) = y'(t), what is the normal system version (equations and initial values) for this initial value problem?
x''(t) = tx''(t) + 2x(t) = 0; x(0) = 4, x'(0) = 0.
t
0.00
2.00
y
(Round to four decimal places as needed.)