f(x^2+y^2  ,  y^2+z^2  ,  u^2+xy)=0  This is a solution of PDE. I need a suitable  Partial Differential equation for above solution.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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f(x^2+y^2  ,  y^2+z^2  ,  u^2+xy)=0  This is a solution of PDE.

I need a suitable  Partial Differential equation for above solution.

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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,