Solve with integrating an implicit function
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06-20-2014, 03:00 PM
(This post was last modified: 06-20-2014 03:01 PM by parisse.)
Post: #2
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RE: Solve with integrating an implicit function
I don't believe there is a simple way to do that, since you don't have control on evaluation like in RPN.
Here is a not too complicated way in Xcas, therefore it should also work in CAS : 1/ first define the implict function f(x):=fsolve(y^5+y=x,y=0..2)[0] 2/ then the integral g(t):=romberg('f(x)',x,0,t) 3/ Check that g(0.7) and g(1) have opposite sign. 4/ then solve using Newton method h(t):=t-(g(t)-1/3)/f(t) h(h(h(1.0))) and h(h(h(h(1.0)))) are almost identical. |
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