How to plot polynomial equation numerically?
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I have a polynomial that I want to plot (x vs t) from t=0:0.01:1 for the following equation:
2*x*(1-x^-3)+sin(t)*(x-1)+3*sin(t)*(x-1)=0
Is there a simple way to do this?
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James Tursa
on 31 Mar 2015
Why do you have sin(t)*(x-1) + 3*sin(t)*(x-1)? Isn't this just 4*sin(t)*(x-1) or is this a typo?
Answers (2)
Image Analyst
on 31 Mar 2015
So how about making up 2 arrays, one for t and one for x, then create a 2D array with a double "for" loop - basically an image of the values - then use imshow() to display it? Use contour of thresholding to show where the function is above or below zero.
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James Tursa
on 31 Mar 2015
Using your latest equation I don't see any obvious simplifications. So maybe just multiply the whole thing by x^4 (to give you a polynomial in x), collect terms on powers of x, then write a loop over t=0:0.01:1 to evaluate the coefficient vector and feed this to the roots function to get your values. Then plot the results.
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