MATLAB: How to plot the following curve (which is in an implicit form)

plot_polynomial

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.

Best Answer

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')
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