• frank0520
Suppose f(x,y) is harmonic (f has continuous second partials and fxx +fyy =0) and define the vector field Perp(f)=<-fy,fx> a) Show that Perp(f) is a conservative vector field that is orthogonal to Grad(f). Hint: To show that Perp(f) is conservative use one of the equivalent properties. b) Since Perp(f) is conservative it has a potential function g(x,y) called the harmonic conjugate of f(x,y). Show that g(x,y) is in fact harmonic.
Mathematics
• Stacey Warren - Expert brainly.com
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SOLVED
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