Solve the one-dimensional heat equation below with a time-dependent heat source and non-homogeneous boundary conditions: 7. Ut = Uxx + Q(x,t) ВС: и(0, t) — 1, и(п,t) — 0 IC : u(x,0) –(r +7)(T – x),...


Solve the one-dimensional heat equation below with a time-dependent heat source and non-homogeneous<br>boundary conditions:<br>7.<br>Ut = Uxx + Q(x,t)<br>ВС: и(0, t) — 1, и(п,t) — 0<br>IC : u(x,0) –(r +7)(T – x),<br>where<br>а) Qх, t) — е'sin 3x — e -2t sin 4t<br>b) Q(х, t) — е 3' sin 5x.<br>

Extracted text: Solve the one-dimensional heat equation below with a time-dependent heat source and non-homogeneous boundary conditions: 7. Ut = Uxx + Q(x,t) ВС: и(0, t) — 1, и(п,t) — 0 IC : u(x,0) –(r +7)(T – x), where а) Qх, t) — е'sin 3x — e -2t sin 4t b) Q(х, t) — е 3' sin 5x.

Jun 04, 2022
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