1) Solve the first order differential equation below; change the M-file or function file given in the examples when necessary. Make useful plots. Remember that A(dx/dt)  + Bx = 0.

a) A = -1, B = 6, x(0) = 5

b) A = 0.1 , B = 0, x(0) = -12

2) Use the given examples for 2nd order systems to solve the 2nd order differential equations. Change the function file only when necessary. Make useful plots. Experiment with t_f.  Remember that A(d²x/dt²) + B(dx/dt) + C x = 0.

a) A = 2, B = -3, C = 4, x(0) = 5, x’(0) = 2 . Find x(t)

b) For the differential equation d²v/dt² - 2 dv/dt + 1 v - 4 = 5cos(t),

v(0) = 5, v’(0) = -2. Find v(t)