A one-dimensional heat equation is given as :- (Satu persamaan haba satu-dimensi diberikan sebagai :-) u,...
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A one-dimensional heat equation is given as :- (Satu persamaan haba satu-dimensi diberikan sebagai :-) u, 4u, u(0,1)=(2,1)=0. H The solution of this equation is :- [Penyelesaian kepada persamaan ini adalah :-] u(x,t) = [b,e" sin(kx), where b, is a constant. By assuming that k=r² and r>0, show that k=- [di mana b, adalah suatu pemalar. Dengan mengandaikan k-r' dan r>0, tunjukkan bahawa Ax •). [Hint/Petunjuk: X*+kX=0; X (0)= X(2)=0.] A one-dimensional heat equation is given as :- (Satu persamaan haba satu-dimensi diberikan sebagai :-) u, 4u, u(0,1)=(2,1)=0. H The solution of this equation is :- [Penyelesaian kepada persamaan ini adalah :-] u(x,t) = [b,e" sin(kx), where b, is a constant. By assuming that k=r² and r>0, show that k=- [di mana b, adalah suatu pemalar. Dengan mengandaikan k-r' dan r>0, tunjukkan bahawa Ax •). [Hint/Petunjuk: X*+kX=0; X (0)= X(2)=0.]
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