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Using vpasovle to search along a line
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So I'm trying to solve a system of two variable equations (let's say x and y) over a varying parameter set using vpasolve. The equations are quite intricate and as such vpasolve frequently returns NaN or empty structures. However, I do know that the solutions generally reside along a fixed ratio s.t. where p ranges from 1 to 2.5. Can I specify this when using vpasolve? Is there any other way to go about this?
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John D'Errico
on 22 Aug 2020
It sounds as if you know the solutions lie along a line, but you don't know the slope of that line, that x and y must be proportional to each other.
You really don't have variables x and y here then. Substitute for x as x = p*y.
This leaves you with two variables, p and y. You still have two equations, in the two unknowns. Once you solve them for p and y, you can then recover x. Since p and y solved the two equations, the recovered x and y will be solutions to the original equations.
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Walter Roberson
on 22 Aug 2020
https://www.mathworks.com/help/symbolic/vpasolve.html#bt5sqi5-1-init_guess
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