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Solve a system of nonlinear equations

asked 2015-05-06 13:26:34 -0500

Massimo2013 gravatar image

I'm trying to solve the following system of nonlinear equation:

var("x,L,a")
sms = (x/(1-L))^(1-a) == .3
bb = x == .3*L
solve([sms,bb],x,L)

I expect that sage gives me a symbolic solution, the output is the following:

[x == 0.3*L, (-x/(L - 1))^(-a + 1) == 0.3]

As I am a newbie to sage, I wonder if there's something wrong/missing

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answered 2015-05-06 20:55:39 -0500

calc314 gravatar image

Since bb is fairly simple, you can substitute that into sms. Then, solving gives something nice. However, you have to tell Sage some information about a.

var("x,L,a")
assume(a>0)
assume(a<1)
sms = (x/(1-L))^(1-a) == 3/10
bb = x == 3/10*L
solve(sms.subs(bb),L)
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Comments

I have a similar problem where my version of bb is not so simple and (sms == sms.subs(bb)) is true. Does a different method exist to solve the problem?

Johan gravatar imageJohan ( 2016-05-18 08:08:39 -0500 )edit

I suggest creating a separate post and giving some example code so we can see exactly what you are working with.

calc314 gravatar imagecalc314 ( 2016-05-18 15:15:41 -0500 )edit

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Asked: 2015-05-06 13:26:34 -0500

Seen: 75 times

Last updated: May 06 '15