Form a Partial differential Equation by eliminating f from f(x+y+z, x^2+ y^2 - z^2 )=0

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Form a Partial differential Equation by eliminating f from f(x+y+z, x^2+ y^2 - z^2 )=0

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Mam since z is a function of x, y then when partially differentiating u w.r.t x why partial differentiation of z by x becomes zero

pratimgogoi
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Thank you very much ma'am.
Could you please help me with the following:
z=f(xy)+g(x/y), where I want a second order PDE by eliminating f and g. Thanks in advance for your help.

Mehraj_IITKGP
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Nice video madam but i have a shorter way if I can share it with you

evanslaffa
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But why curl u/curl x is 1
Why not 1+p???

yadveer
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ek pagal bhaiya ke YouTube channel mein yahin question 22 minutes mein samjhya par kuch samjh nahin aya per aap ne sirf 6 minutes ke under samjhya😅

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