A rod of length 2 m is fully insulated along its sides. The temperature at x is initially 100 sin 2 °C, and at t = 0, the ends are dipped into cold water and held at temperature of 0°C. If the heat equation given as ди = 2- (a) By using the method of separation of variables, discover the expression for the temperature at any point at a distance x from one end at any subsequent time t second after t= 0. (b) Solve the particular solution for the general solution obtained from the Q2 (a).

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