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Let , 4 be given functions. Solve the initial value problem Uu Uxx + UU=0 , u(x,0)=P(x), ut(x,0)=(x), where x E R and t

Let , 4 be given functions. Solve the initial value problem Uu Uxx + UU=0 , u(x,0)=P(x), ut(x,0)=(x), where x E R and t 0. - -

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