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Jacobians : If $ ux=yz , \; vz=yx , \; wz = xy \; , \; find \; J\Big( \frac{ u,v,w }{x,y,z} \Big) $
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written 7.9 years ago by
teamques10
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u$ = \frac{yz}{x} \; \therefore \frac{\partial u}{\partial x} \; = \frac{-yz}{x^2} \; , \; \frac{\partial u}{\partial y} \; = \frac{z}{x} \; , \; \frac{\partial u}{\partial z} \; = \frac{y}{x} \\ \; \\ \; \\ v = \frac{zx}{y} \; \therefore \frac{\partial v}{\partial x} \; = \frac{z}{y} \; , \; \frac{\partial v}{\partial …
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