- #1
Niles
- 1,866
- 0
Homework Statement
Hi all.
I have the following equation containing the variables x and y, where A, c > 0 and B is a constant, which I am not told anything about:
[tex]
-c^2x^2+y^2+2By+A=0.
[/tex]
I wish to find two solutions {x_1, y_1} and {x_2, y_2}, to this problem and they must be linearly independant. I thought of doing something like this:
[tex]
(-c^2x^2)+(y^2+2By+A)=0,
[/tex]
where we now have two second-order polynomials.
My question is: Is there any way to find a general solution to this problem as a function of either x or y?