Question

Consider a function it which depends on position $x$ and time $t$. The partial differential equation
$\frac{\partial u}{\partial t}=\frac{{\partial }^{2}u}{\partial x^2}$
is know as the

• A. Wave equation
• B. Heat equation
• C. Laplace's equation
• D. Elasticity equation

Answer 1

The correct option is B Heat equation

Standard form of Heat equation is
$\frac{\partial u}{\partial t}=\frac{{\partial }^{2}u}{\partial x^2}$
where $u\to$ temperature.