How to arrive with An using the orthogonality function of Sturm Liouville Given Equation: 11=00 u = Σ A„ sin n=1 11=00 u

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How to arrive with An using the orthogonality function of Sturm Liouville Given Equation: 11=00 u = Σ A„ sin n=1 11=00 u = Σ A, sin n=1 Desired An: An NTTZ 2H H NTTZ 2H 1 2H 7 So u; sin NTTZ - dz 2H Boundary Conditions: 1. At time t = 0, u= u; (initial excess pore water pressure at any depth). 2. u=0 at z = 0. 3. u=0 at z = H₂ = 2H.