Solve the following PDE by using the Laplace transforms: ди ди + x at дх = x, + = Given, the boundary condition: u(0,t)

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Solve the following PDE by using the Laplace transforms: ди ди + x at дх = x, + = Given, the boundary condition: u(0,t)

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Solve the following PDE by using the Laplace transforms: ди ди + x at дх = x, + = Given, the boundary condition: u(0,t) = 1, and initial condition u(x,0) = 1 + x2 = น =
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