Hello,
I'm wanting to plot some stream functions of which I have the functions for. I know what my stream function is in terms of u & v, but now I want to express the solution in terms of x & y, of which I have. Since I know that the stream function is a constant, any choice for u or v has a solution.
Currently psi = -2*C*sinh(u)*cos(v) = constant, and C is an arbitrary constant.
To plot out the points on a continuous line, I let v for instance = 0, phi/4...2*phi. I can then get the values for u, which are unique, and can then through a programming function, get the converted values of these two vectors for x(u,v) and y(u,v), therby giving me a line. I can add other lines by changing the value of psi = constant.
However, when I want to get the stream lines for say, letting u=0,0.5,3 , there are multiple solutions to the value of v. As I am symbolically solving the equations, I'm wanting to know if there is a way to 'bound' the symbolic solution to v between say 0 & phi, which would allow a vector output, of which I can then use to plot.
I have attached (the second version) of the spreadsheet. The first one crashed when I tried solve, v, 0, 2phi.
I would also like to know if I can make the stream functions solve, some variable output be equal to a vector iteself.
Thank you for any help in advance =).