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Hi all.

I have the following equation containing the variablesxandy, 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?

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# Homework Help: Finding a general solution to an equation

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