How can I plot the following curve (which is in an implicit form)

Question

Sharad Dwivedi ，2015-1-23

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回答： Youssef Khmou ，2015-1-23

I need to plot the following curve:

ay^3+by=cx+d;

in which x can be taken as x=0:1:10; I am unable to plot y V/s x. i.e. plot(x,y). Here a, b ,c and d are known parameters.

Thanks for your help.

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Answer 1

Youssef Khmou 2015-1-23

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https://ww2.mathworks.cn/matlabcentral/answers/171348-how-can-i-plot-the-following-curve-which-is-in-an-implicit-form#answer_165762

For this form of equation, you can use contour function, or symbolic function ezplot, for the first solution you need to use meshgrid function and contour a solution at constant d ,as the following :

   [x,y]=meshgrid(0:0.1:10);
   a=4;b=1;c=2;
   d=6;
   f=a*y.^3+b*y-c*x-d;
   contour(x,y,f,[d d],'k')
   xlabel('x');
   ylabel('y');
   title(' f(x,y)=ay^3+by-cx-d')