Learning Guide Learning Guide

242 • Chapter 6: Examples from Calculusy(x) = _C1 √ x(1 − 1 3 x + 130 x2 − 1630 x3 + 122680 x4 −11247400 x5 + O(x 6 )) + _C2(1 − x + 1 6 x2 − 190 x3 + 12520 x4 −1113400 x5 + O(x 6 ))Use rhs to select the solution, then convert it to a polynomial.> rhs(%);_C1 √ x(1 − 1 3 x + 130 x2 − 1630 x3 + 1122680 x4 −1247400x 5 + O(x 6 )) + _C2(1 − x + 1 6 x2 − 190 x3 + 1 12520 x4 −113400 x5 + O(x 6 ))> poly := convert(%, polynom);poly := _C1 √ x(1 − 1 3 x + 1 30 x2 − 1630 x3 + 122680 x4 −+ _C2 (1 − x + 1 6 x2 − 190 x3 + 12520 x4 −11247400 x5 )1113400 x5 )Now you can plot the solution for different values of the arbitraryconstants _C1 and _C2.> [ seq( _C1=i, i=0..5 ) ];[_C1 = 0, _C1 = 1, _C1 = 2, _C1 = 3, _C1 = 4, _C1 = 5]> map(subs, %, _C2=1, poly);