Solution of heat conduction problem by Fourier transform method

Introduction: Heat conduction problem is a partial differential equation with an initial condition. Solution of heat conduction problem by Fourier transform method is given belowQuestion: Solve heat conduction problem \[\frac{\partial u}{\partial t}=k\frac{\partial^2u}{\partial x^2}+xt,-\infty<x<\infty, t>0 \] subject to initial condition \[u\left(x,\…

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