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Use the Laplace transform to solve the heat equation
ut=uxx0<x<1 and t>0
Solve the following differential equation by the laplace transform method6y(4)+7y‴+21y28y′−12y=t(cos(2t)+te−3t2)y(0)=0,y′(0)=1,y"(0)=0,y‴(0)=−1
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