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Solve with integrating an implicit function
06-20-2014, 03:00 PM (This post was last modified: 06-20-2014 03:01 PM by parisse.)
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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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RE: Solve with integrating an implicit function - parisse - 06-20-2014 03:00 PM



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