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(Solved): (6 pts) Consider the heat equation with nonhomogeneous boundary conditions: u_(t)=2u_(\times ),0< ...



(6 pts) Consider the heat equation with nonhomogeneous boundary conditions:

u_(t)=2u_(\times ),0<=x<=3,u(0,t)=60,u(3,t)=0,u(x,0)=50x.

Write out the form of the solution, in terms of the specific parameter values provided in the specification of the problem (like "L", and "K"). Give the integrals that define any coefficients in your solution. (You do not have to evaluate the integrals)



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