plz solve it within 30-40 mins I'll give you multiple upvote a) Use separation of variables method to find the solution to the following IBVP: for all 00 Ute(x, t) = c² u(x, t) u(0, t) = u(1, t) = 0...

plz solve it within 30-40 mins I'll give you multiple upvote

Extracted text: a) Use separation of variables method to find the solution to the following IBVP: for all 0< 1="" and="" t="">0 Ute(x, t) = c² u(x, t) u(0, t) = u(1, t) = 0 u(x,0) = x(1- x) u:(x, 0) = 0 for all t>0 for all 0<><1 for="" all="" 0=""><><>