Solve the differential equation Y’(t) = AY(t), with initial
condition Y(0) = [1;0] (a 2x1 matrix); where A = [ 9 , 5 ; -6 , -2
]. Then, using Euler’s method with step size h=.1 over [ 0 , .5 ]
fill in the table with header where the 2x1 matrix Yi is the
approximation of the exact solution Y(ti) :
t Yi Y(ti) ||Y(ti) – Yi ||
Solve the differential equation y'' − y' − 2y = 9e^2t , with
initial conditions y(0) = 3, y' (0) = −2, using two different
methods. Indicate clearly which methods you are using. First
method:
Second method: