while other three edges are kept at 0o C. Find the steady state temperature in the plate. If it is set vibrating by giving to each of its points a  velocity. (6)   A square plate is bounded by the lines x = 0, y = 0, x = 20 and y = 20. The solution of equation . The differential equation together with the boundary conditions constitutes a boundary value problem. When three  of the edges are kept at temperature zero and the fourth at a fixed temperature ao C. i.           u(0,y) = 0, 0 £y £l   ii. If the temperature at Bis reduced to 0, C and at the same instant that at A is suddenly raised to 50. (2) A taut string of length 20 cms. Coombs, S. Giani, https://doi.org/10.1016/j.camwa.2019.03.045, https://doi.org/10.1016/j.camwa.2019.04.004, Eduard Rohan, Jana Turjanicová, Vladimír Lukeš, https://doi.org/10.1016/j.camwa.2019.04.018, https://doi.org/10.1016/j.camwa.2019.04.019, https://doi.org/10.1016/j.camwa.2019.04.002, A. Cangiani, E.H. Georgoulis, S. Giani, S. Metcalfe, https://doi.org/10.1016/j.camwa.2019.05.001, Mario A. Aguirre-López, Filiberto Hueyotl-Zahuantitla, Javier Morales-Castillo, Gerardo J. Escalera Santos, F.-Javier Almaguer, https://doi.org/10.1016/j.camwa.2019.04.020, https://doi.org/10.1016/j.camwa.2019.04.031, A. Arrarás, F.J. Gaspar, L. Portero, C. Rodrigo, https://doi.org/10.1016/j.camwa.2019.05.010, José Luis Galán-García, Gabriel Aguilera-Venegas, Pedro Rodríguez-Cielos, Yolanda Padilla-Domínguez, María Ángeles Galán-García, https://doi.org/10.1016/j.camwa.2019.05.019, https://doi.org/10.1016/j.camwa.2019.05.011, https://doi.org/10.1016/j.camwa.2019.05.015, Ivan Smolyanov, Fedor Sarapulov, Fedor Tarasov, https://doi.org/10.1016/j.camwa.2019.05.023, Alex Stockrahm, Valtteri Lahtinen, Jari J.J. Kangas, P. 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