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Let with Fourier cosine transform and Fourier sine transform.Which of the following is the unique solution of the one dimensional heat equation coupled with the initial condition and boundary condition?

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MCQs on Partial Differential Equations.


Let<br><img src='https://www.fatskills.com/images2/GradExams/028869B3-37A0-4BB8-A0BE-D08EA5BE043A.png' height='22' width='108'/> with Fourier cosine transform<br><img src='https://www.fatskills.com/images2/GradExams/028E22E4-668E-4A12-A03E-7D3A7EC2E8CE.png' height='25' width='29'/> and Fourier sine transform<br><img src='https://www.fatskills.com/images2/GradExams/FA66094D-B17E-466E-95B4-B880F76110D9.png' height='25' width='26'/>.Which of the following is the unique solution of the one dimensional heat equation<br><img src='https://www.fatskills.com/images2/GradExams/3AB7A7F8-E0F0-4B1B-BAD0-A9BF316BF95E.png' height='22' width='237'/> coupled with the initial condition<br><img src='https://www.fatskills.com/images2/GradExams/1A0A9A60-53C2-466A-A187-166DD8447546.png' height='20' width='119'/> and boundary condition<br><img src='https://www.fatskills.com/images2/GradExams/8FB42A16-B186-4211-A743-7C192A1E953F.png' height='20' width='103'/>?





 
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