Question: practice problem not for mark 1. Consider the initial boundary value problem (IBVP) for the heat equation, ut = Urx + (5- 16x2 )et-27, -co

practice problem not for mark

1. Consider the initial boundary value problem (IBVP) for the heat equation, ut = Urx + (5- 16x2 )et-27, -co 0, u(x, 0) = e-272 u(r, t) & ur(I, t) - 0 as r - 100. (a) Show that F {(5-16r? )et-2x } = get-w /8(1+w?) (which can be interpreted as k(w)et). (b) Solve the given IBVP

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