#
# Numerical Mathematics and Computing, Fifth Edition
# Ward Cheney & David Kincaid
# Brooks/Cole Publ. Co.
# (c) 2003
#
# file:  ode2
#
# Numerical solution to the initial value problem
# x' = 1+x^2+t^3, with initial condition x(1)= -4:

 ode := D(x)(t) = 1 + x(t)^2 + t^3;
 f := dsolve({ode, x(1) = -4}, x(t), numeric);
 f(1);
 f(2);