# 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 partial differential equation that can be formed from

z = ax + by + ab has the form

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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

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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?