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Jacobians : If $ x=e^v sec \; u \; , \; y=e^v tan \; u, Find \; J\bigg ( \frac{u,v}{x,y} \bigg) $
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written 7.9 years ago by | • modified 7.9 years ago |
Now, $ x=e^v sec \; u \; \; \ldots (i) \; \; \; \; \; \; \; \; y=e^v tan \; u \; \; \ldots (ii) \\ \therefore x^2=e^{2v} sec^2 \; u \; \; and x^2=e^{2v} tan^2 \; u \\ x^2 \; - \; y^2 \; = \; e^{2v} \Big( …