GATE Questions & Answers of Solutions of one dimensional heat and wave equations

What is the Weightage of Solutions of one dimensional heat and wave equations in GATE Exam?

Total 3 Questions have been asked from Solutions of one dimensional heat and wave equations topic of Differential equations subject in previous GATE papers. Average marks 2.00.

The equation ${k}_{x}\frac{{\partial}^{2}h}{\partial {x}^{2}}+{k}_{z}\frac{{\partial}^{2}h}{\partial {z}^{2}}=0$ can be transformed to $\frac{{\partial}^{2}h}{\partial {{x}_{t}}^{2}}+\frac{{\partial}^{2}h}{\partial {z}^{2}}=0$ by substituting

A body originally at 60°C cools down to 40°C in 15 minutes when kept in air at a temperature of 25°C. What will be the temperature of the body at the end of 30 minutes?