Question

सत्यापित कीजिए कि अवकल समीकरण :

 

z(x2-y2-z²)dx+(x+z)xzdy +x(z²-x2-xy)dz = 0

04 Sep 2025
Answer :
Word Count : 401
दी गई अवकल समीकरण है: $$ z(x^2 - y^2 - z^2) \, dx + (x + z)xz \, dy + x(z^2 - x^2 - xy) \, dz = 0 $$ इसे हम इस रूप में लिख सकते हैं: $$ M\,dx + N\,dy + P\,dz = 0 $$ जहाँ $$ M = z(x^2 - y^2 - z^2), \quad N = (x+z)xz, \quad P = x(z^2 - x^2 _________ ___ ____ ___ ___ _____ ____ ______ ________ ______ ____ _______.
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