File: exp.fee

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PHASE_SPACE x   # variable x is in the phase space of the DAE system
end_time = 1    # time goes from 0 to 1
x_0 = 1         # initial condition is x = 1 for t = 0
x_dot = -x      # differential equation
# output time, x, the analytical solution and the absolute error
# PRINT %.6f t x exp(-t) %e abs(x-exp(-t))      
IF done
  PRINT abs(exp(-t)-x)<1e-5
ENDIF