GATE Papers >> Mechanical >> 2018 >> Question No 113

Question No. 113 Mechanical | GATE 2018

Consider a function $u$ which depends on position $x$ and time $t$. The partial differential equation

                                               $ \frac{\partial u}{\partial t}=\frac{\partial^2u}{\partial x^2} $ 

is known as the


Answer : (B) Heat equation


Solution of Question No 113 of GATE 2018 Mechanical Paper

$ \frac{\partial\mathrm u}{\partial\mathrm y}=\frac{\partial^2\mathrm u}{\partial\mathrm x^2}\;\mathrm{is}\;\mathrm{known}\;\mathrm{as}\;\mathrm{heat}\;\mathrm{equation} $

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Questions of Solutions of Heat, Wave and Laplace's Equations