Find the solution of the problem consisting of Here u(x, y) is the steady-state temperature distribution in a semi-infinite rectangular plate of width b, the temperature at far end and along its two...

Find the solution of the problem consisting of

Here u(x, y) is the steady-state temperature distribution in a semi-infinite rectangular plate of width b, the temperature at far end and along its two long sides is fixed at 0, and temperature at x = 0 is fixed at a constant temperature u₀.