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∫0∞cos(xt)1+t2dtI'm supposed to solve this using Laplace Transformations.
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Use the Laplace transform to solve the heat equation ut=uxx0<x<1 and t>0 u(x,0)=sin(πx) u(0,t)=u(1,t)=0
Find the general solution to the equation x(dydx)+3(y+x2)=sinxx
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