Question: Question 3. (3 pts.) Here are two initial boundary value problems in which (f(x), F(t) and S(x) are known functions.. In each case, circle all

Question 3. (3 pts.) Here are two initial boundary value problems in which (f(x), F(t) and S(x) are known functions.. In each case, circle all the non-homogeneities, including any conditions that have to be dealt with in order to use separation of variables. (a) azu/at2 = c2 azu/dx2 + F(t]: x =0,1; u =0; t=0, u = f(x), du/at = 0. (b) du/at - azu/dx2 + S(x,y): x=0, u =1; x=1, u = 0; t= 0, u=0

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