6. If f(x,y) and (x,y) are homogeneous functions of x, y of degree 6 and 4, respectively and u(x, y) = f(x,y) + 6(x,y),

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6 If F X Y And X Y Are Homogeneous Functions Of X Y Of Degree 6 And 4 Respectively And U X Y F X Y 6 X Y 1 (16.98 KiB) Viewed 21 times

ans 6 question
6. If f(x,y) and (x,y) are homogeneous functions of x, y of degree 6 and 4, respectively and u(x, y) = f(x,y) + 6(x,y), then show that f(x, y) = (x² + 2xy + y²d²u) – 1 (x + y ). dxdy