Consider the partial differential equation for heat in a onedimensional rod with temperature u(w,t) on 0

Consider the partial differential equation for heat in a one-dimensional rod with temperature t) on O < c < 2: Assume initial condition: and boundary conditions: D2u 0.5 (2 3 sin and u(2, t) = 0 By plugging u(c, t) aebtsin(cx) into the equation, determine values of a, b and c that ensure that y) solves this problem.