Question: Try to solve an integral equation, Maple fsolve timeout

I am trying to solve the equation in the attached Maple file, but Maple cannot return a result.

 

restart

Digits := 30

30

(1)

with(plots)

[animate, animate3d, animatecurve, arrow, changecoords, complexplot, complexplot3d, conformal, conformal3d, contourplot, contourplot3d, coordplot, coordplot3d, densityplot, display, dualaxisplot, fieldplot, fieldplot3d, gradplot, gradplot3d, implicitplot, implicitplot3d, inequal, interactive, interactiveparams, intersectplot, listcontplot, listcontplot3d, listdensityplot, listplot, listplot3d, loglogplot, logplot, matrixplot, multiple, odeplot, pareto, plotcompare, pointplot, pointplot3d, polarplot, polygonplot, polygonplot3d, polyhedra_supported, polyhedraplot, rootlocus, semilogplot, setcolors, setoptions, setoptions3d, shadebetween, spacecurve, sparsematrixplot, surfdata, textplot, textplot3d, tubeplot]

(2)

with(Statistics)

NULL

say the f(x) is a Beta with parameters alpha and beta

 

alpha := 10

10

(3)

beta := 100000

100000

(4)

"f(x):=PDF(BetaDistribution(alpha,beta),x)"

proc (x) options operator, arrow, function_assign; Statistics:-PDF(BetaDistribution(alpha, beta), x) end proc

(5)

f(x)

piecewise(x < 0, 0, x < 1, x^9*(1-x)^99999/Beta(10, 100000), 0)

(6)

NULL

semilogplot(PDF(BetaDistribution(alpha, beta), x), x = 0 .. 1)

 

 

fsolve(int(f(x), x = 0 .. y) = .1, y = 0 .. 1)

Download test_fsolve_integ.mw

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