Assume that with Fourier transform.Which of the following is the unique solution of the two-dimensional Laplace equation, where coupled with the boundary condition?

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Assume that<br><img src='https://www.fatskills.com/images2/GradExams/1318C0E7-21F3-4694-BA5A-3F2B57DE7579.png' height='22' width='81'/> with Fourier transform<br><img src='https://www.fatskills.com/images2/GradExams/4A1619FD-8015-4D93-A1B0-FCA0F7EB6BBE.png' height='21' width='7'/>.Which of the following is the unique solution<br><img src='https://www.fatskills.com/images2/GradExams/F7B619CA-9D69-48F4-9024-E0902F2B5AA0.png' height='10' width='11'/> of the two-dimensional Laplace equation<br><img src='https://www.fatskills.com/images2/GradExams/41C441BE-33F3-461F-88BF-EAE7F7770BA4.png' height='20' width='107'/>, where<br><img src='https://www.fatskills.com/images2/GradExams/DB5DDC19-CFA7-4896-9F47-A5205182754E.png' height='18' width='104'/> coupled with the boundary condition<br><img src='https://www.fatskills.com/images2/GradExams/57E86B8F-791C-4AEB-8759-459944A73AF8.png' height='20' width='175'/>?