Just do 5 5. Find all analytic functions f such that Ref + Im f = xy.6. Suppose that u is a harmonic function and that vis a harmonic conjugate of u. Show thatдидиӘJu ди+u21 ( 1 - ) - 57 (дхдхдгду дх evB) ANALYTIC AND HARMONIC FUNCTIONS4. a) v = 3x²y-y³+y²+y-z²+C, CER,b) v = 2xy + C, CER,c) v = -cosh a cos y + C,CERf(2)=(2²+C), CER.8. f(z)= az+bz², a,b € C.d) v = e(y siny-rcos y) + C, CER,e) v = n(2² + y²) + C, CER19. f(z) = 2³+iaz² + bz+ic, a, b, c € R.10. f(2)= ae+ib, a € C, bER.

We need to find the analytic functions f such that Re f+Im f=xy. Consider the function of the form…

Answered: 5. Find all analytic functions f such…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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5. Find all analytic functions f such that Ref + Im f = ry.