I am very confused how to get this. Thank you.

(10 points) Let u be the solution to the initial boundary value problem for the Heat Equation, with initial condition and with boundary conditions atu(ta x) = 2632(\"(ta x), t e (O, m), x 6 (0,1); 1 u(0,x) = f(x) = 3;, X E [01, E), E' x 6 [5'1]- u(t,0) = 0, 6x140, 1) = 0. Find the solution 1.4 using the expansion with the normalization conditions u(t, X) = 2 c" Un(t) WAX), n=1 u,,(0)= 1, w,,((2n1_1)) =1 a. (3/10) Find the functions w,l , with index n 2 1. w,,= b. (3/10) Find the functions 0,, , with index n 2 1. v,,= c. (4/10) Find the coefficients c,l , with index n 2 1. C"