Question

Given the following 1-D heat equation, use Fourier transform to show the following result and then use the initial condition to prove u(x,t) for all t>0. x goes from - infinity to positive infinity

du=c、du dt dx 1. Given the followgl where: t>0,cisaconstant, u(x,0)-f(x) a)UseFourierTransforrn to show that u(x,t)= b)Nowus

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Take ua 冫七 2 C Lu ck七e L od (x1メ o se TTct

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