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Mathematics, 21.02.2020 18:01 andy6128

Solve the initial value problem for the following inhomogeneous heat equation ut − 1 4 uxx = e −t in − [infinity] < x < [infinity], t > 0, u(x, 0) = x 2 . Write your answer as a linear combination u = C1 f1(t) g1(x)+· · ·+Cn fn(t) gn(x) computing fj , gj . Do not compute the constants C1,...,n.

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Solve the initial value problem for the following inhomogeneous heat equation ut − 1 4 uxx = e −t in...
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