Finding function for x in f(x,y,z)=0 and plotting it in 3d phase space

Hi, we have a function f(x,y,z)=0, could you please tell me how we can find a function for x which means x=g(y,z) and the second question is how we can plot this g(y,z) in a 3d plot?

Thanks in advance for any help.

Answer 1

[Walter Roberson]

Generally speaking, that is not always possible. Or sometimes it is only approximately possible.

If you have the symbolic toolbox, then you can define f(x,y,z) and then you can attempt

g = solve(f(x,y,z), x)

If you manage to get a solution, then you could try

fsurf(g, [y_lowerbound y_upperbound z_lowerbound z_upperbound])
xlabel('y'); ylabel('z'); zlabel('x')

where y_lowerbound y_upperbound z_lowerbound z_upperbound are numeric values that give the bounds of the region you want to plot.

[M]

Thanks Walter