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_{tt}-u

_{xx}=0 on the whole plane. Suppose that u

_{x}(x,t) is a constant on the line x=1+t. Assume that u(x,0)=1 for all x in R and u(1,1,)=3. Find such a solution u.

I need help trying to incorporate the u

_{x}(x,t) is a constant on the line x=1+t