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 u(x, 0) = (x + 7)(T – x), IC : where a) Q(х, t) —D е-t sin 3x — e-21 sin 4t b) Q(x, t) = e-3t sin 5x.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.