Find the coefficients A(w) and B(w) for the Fourier integral for the function f(x)=-e- if x>0...

 

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Find the coefficients A(w) and B(w) for the Fourier integral for the function f(x)=-e- if x>0 and f(x)=0 if z <0. The function u depends on two independent variables: u = = u(x, t). Find the general solution of the partial differential equation Ju du + +u = 2t-I. t t Find the coefficients A(w) and B(w) for the Fourier integral for the function f(x)=-e- if x>0 and f(x)=0 if z <0. The function u depends on two independent variables: u = = u(x, t). Find the general solution of the partial differential equation Ju du + +u = 2t-I. t t