Nonlinear PDE of first order

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Ordinary and Partial Differential Equations and Applications
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Hi sir i have a question from nptel pdf for PDE how to find integral curve for dx/(xz-y) = dy/(yz-x) = dz/(xy-z)

advancedappliedandpuremath
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Before inflicting such pain on viewers, please give Dr. Agarwal a full course on diction and presentation. He is AWFUL! He is THE WORST in all of the NPTEL series!

aerodynamico