ODE IVP: a=0; u''=-u, u(a)=0, u'(a)=1; b=4PI Absolute/relative accuracy goals: acc=0.01 eps=0.01 Numerical solution: u(b) = 0.0012648 u'(b) = 0.99337 Exact solution: sin(b) = -4.8986e-16 cos(b) = 1 tolerance = 0.019934 actual error = 0.006747 test passed npoints = 58