Let f(z) be an analytic function, which is represented by f(z)=u(x,y)+iv(x,y) where z=x+iy . If u(x,y)=24x(55−y)−37 and v(x,y)=Ax2+By2+Cx+Dy+E and v(0,0)=61, then a) What is the value of E? b) What is the value of A−B? c) What is the value of C−D+E?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f(z) be an analytic function, which is represented by f(z)=u(x,y)+iv(x,y) where z=x+iy .

If

u(x,y)=24x(55−y)−37

and

v(x,y)=Ax2+By2+Cx+Dy+E and v(0,0)=61,

then

a) What is the value of E?

b) What is the value of A−B?

c) What is the value of C−D+E?

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