In your answers below, for the variable , type the word lambda, for ny type the word gamma; otherwise treat these as you would any other variable. We will solve the heat equation t = 4 00 (n your answers below use gamma instead of lambda) X(x) = a*cos(gammax)+b+sin(gammax) Plugging in the boundary values into this formula gives 0 = X(0) 0 = X(8) bsin(gamma) = a Which leads us to the eigenvalues X = where yn (npix/8 and eigenfunctions X. (c) sin(pi/8)x] INotation Finanfunctions should not include any constants a or b.)