If f(z) =u+iv is analytic and u-v =e^x (cosy-siny), find f(z) || complex analysis bsc maths

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#20 || Problem#6 || Find the analytic function f(z)= u + iv given 怖š’–āˆ’š’—=š’†ć€—^š’™ [š’„š’š’”š’šāˆ’š’”š’Šš’š’š] || 18MAT41|| #20 || Problem#6 || Find the analytic function f(z)= u + iv given 怖š’–āˆ’š’—=š’†ć€—^š’™ [š’„š’š’”š’šāˆ’š’”š’Šš’š’š] || 18MAT41||
Cauchy Riemann u-v = e^x (cosy - siny) find f(x) = u+iv Cauchy Riemann u-v = e^x (cosy - siny) find f(x) = u+iv
If u-v=e^x(cosy-siny) find an analytic function. If u-v=e^x(cosy-siny) find an analytic function.
Milne -Thomson : f(z)=u+iv is an Analytic function & u-v=eĖ£{cos(y)-sin(y)} , find f(z) in term of z. Milne -Thomson : f(z)=u+iv is an Analytic function & u-v=eĖ£{cos(y)-sin(y)} , find f(z) in term of z.
Part B - Finding v given u where f(z)=u+iv is analytic Part B - Finding v given u where f(z)=u+iv is analytic
Analytic Function (U-V )=e^x(cosy-siny)given Analytic Function (U-V )=e^x(cosy-siny)given
find the analytic function f(z) =u+iv given u-v =e^x( cosy-siny) find the analytic function f(z) =u+iv given u-v =e^x( cosy-siny)
If f(z)=u+iv is Analytic function then prove curves u(x,y)=cā‚, v(x,y)=cā‚‚ form two orthogonal family. If f(z)=u+iv is Analytic function then prove curves u(x,y)=cā‚, v(x,y)=cā‚‚ form two orthogonal family.