Easy calculus question: derivate this equation? b^2 x^2 + a^2 x^2 = a^2 b^2

Myself

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Hello everybody! I got a simple question: is possible derivate this equation?


b^2 x^2 + a^2 x^2 = a^2 b^2


I mean, the exercise says:
b^2 x^2 + a^2 x^2 = a^2 b^2, calculate y''


But I didn't see any "y" on the equation, so is possible to do it? And if the answer is yes, please, let me know what is the right formula.
I think that it could be a typping mistake on my homework sheet, but I want to be sure.


Thanks a lot, and sorry for the bad english!
 
I suspect that this was intended to be b^2x^2+ a^2y^2= a^2b^2. Notice that if you divide by a^2b^2 that becomes x^2/a^2+ y^2/b^2= 1, the standard formula for an ellipse. Solving for y, you will have "\(\displaystyle \pm\)" a square root.
 
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