for the transient part of the solution wx,t). The unknown wr satisfies a homogeneous eqn. and homogencous boun dar Apply the method of separation of variables to solve the IBVP for the transi An cigenvalue problem emerges; Superposition of all eigen-solutions Apply initial condition to determine the coefficients in the Fourier series 3) For HW1 Consider the inhomogeneous linear PDE ou = K-u + 1,0 < x < I., t > 0 Ou with the following BCs ax Initial condition: (1) Find the steady-state solution; (2) Formulate the IBVP for the transient solution (3) Solve the transient solution; (4) Write out the solution for the temperature Hint; there is an orthogonal condition 2n+1 2m + 1 2L 2