A rod of 30cm length has its ends P and Q kept 20°C and 80°C respectively until steady state condition prevail. The temperature at each point end is suddenly reduced to 0°C and kept so. Find the conditions for solving the equation.

• A. u(0,t) = 0 = u(30,t) and u(x,0) = 20 + 60/10 x
• B. ux(0,t) = 0 = ux(30,t) and u(x,0) = 20 + 60/30 x
• C. ut(0,t) = 0 = ut(30,t) and u(x,0) = 20 + 60/10 x
• D. u(0,t) = 0 = u(30,t) and u(x,0) = 20 + 60/30 x