Multiple-choice. You must draw a circle around the correct answer such as If you do not select an answer you will get 0 for the multiple-choice problem. SA. To find the solution for uu, u(0,1)-10, u,(5,1)-0, u(x,0)-5 by separation of variables we may assume (a) u-X(x)Y(y) (i.e as a product of function x and a function y) 1% (b) u=Y(y)T(t) (e) u=(a+bx)exp(-k) (c) u-[Jsin(kx)+Jsin(kx)]exp(-ky) (f) none of above. My answer is: (d) u-X(x)T(t) 5B. By substituting the product solution into the equation we will obtain (where T- (a) X"X-T'T=const. (e) X"/X-T/T-const. x etc.) 1% (c) X"X-TT-const. (d) X"Y/X-T/T-const. (b) Y"Y-T'T-const. (f) none of above. My Answer is, 5C. The const. (constant) in the above problem is to be set as (with 2 as a positive real number and i (a)-k and k. (b)-k and 0. (f) none of above. The answer is, (c)-k and i. (d) k2 and 0 (e)-and 0. 2%