The complete solution of the yp + xq + pq = 0 will be

1
\( 2z = a{x^2} - \frac{a}{{1 - a}}{y^2}\)
2
\( 2z = a{x^2} - \frac{a}{{1 + a}}{y^2}\)
3
\( 2z = a{x^2} + \frac{a}{{1 + a}}{y^2}\)
4
\( 2z = a{x^2} + \frac{a}{{1 - a}}{y^2}\)

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