Take k to be a positive real number. Suppose that u is the solution to the diffusion equation Ut = kupr on the closed interval [0, l]. (4.1) Solve the differential equation given that u(t, 0) = u(t,...


Take k to be a positive real number. Suppose that u is the solution to the diffusion equation<br>Ut =<br>kupr<br>on the closed interval [0, l].<br>(4.1)<br>Solve the differential equation given that<br>u(t, 0) = u(t, l) = 0 and u(0, x) = sin (2) + 3 sin ().<br>(4.2)<br>Solve the differential equation given that<br>7rx<br>Uz(t,0) = u#(t, l) = 0 and u(0, x) = 1 + 3 cos (T) + 2 cos (T).<br>

Extracted text: Take k to be a positive real number. Suppose that u is the solution to the diffusion equation Ut = kupr on the closed interval [0, l]. (4.1) Solve the differential equation given that u(t, 0) = u(t, l) = 0 and u(0, x) = sin (2) + 3 sin (). (4.2) Solve the differential equation given that 7rx Uz(t,0) = u#(t, l) = 0 and u(0, x) = 1 + 3 cos (T) + 2 cos (T).

Jun 04, 2022
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