Question: Solve equations (2), Sec. 23 for ux and uy to show that Then use these equations and similar ones for vx and vy to show
Then use these equations and similar ones for vx and vy to show that in Sec. 23 equations (4) are satisfied at a point z0 if equations (6) are satisfied there. Thus complete the verification that equations (6), Sec. 23, are the Cauchy-Riemann equations in polar form.
sin cos
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Equation 2 Sec 23 are u x cos u y sin 03b8x u r u x r sin u y ... View full answer
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