singular solution of the partial differential equations

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What is the singular solution of the equation $pq=z$ or $z_{x}*z_{y}=z$ ? İts complete integral is $2*\sqrt{z}=x*\sqrt{a}+\frac{y}{\sqrt{a}}+b$.

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To find the singular solution,we need to differentiate both sides of the complete integral wrt $a$ and $b$ parameters.So, wrt $a$ $$0=\frac{x}{2\sqrt{a}}-(1/2)ya^{(-3/2)}$$ and wrt $b$ $$0=1$$ Because we have a contradiction from the last equation, there is no singular solution of the problem.