#
# Numerical Mathematics and Computing, Fifth Edition
# Ward Cheney & David Kincaid
# Brooks/Cole Publ. Co.
# (c) 2003
#
# file:  ode_2nd_order
#
# Solving second order initial-value problem:
# x"(t) = -3 (cos(t))^2 + 2
# with the initial conditions:  x(0)=0, x'(0)=0

 dsolve ({(D@@2)(x)(t) = -3*cos(t)^2 + 2, x(0)=0,
           D(x)(0)=0}, x(t));