The Heat Equation Is
A) $\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } + \frac { \partial ^ { 2 } u } { \partial y ^ { 2 } } = 0$

question 25

Multiple Choice

The heat equation is

• A) \(\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } + \frac { \partial ^ { 2 } u } { \partial y ^ { 2 } } = 0\)
• B) \(\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } + \frac { \partial u } { \partial y } = 0\)
• C) \(\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } + \frac { \partial u } { \partial t } = 0\)
• D) \(\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } - \frac { \partial u } { \partial t } = 0\)
• E) \(\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } - \frac { \partial ^ { 2 } u } { \partial t ^ { 2 } } = 0\)

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Definitions:

Symbolic Form

The representation of logical expressions through symbols to simplify and clarify arguments or mathematical proofs.

Verbal Error

A mistake in the way something is expressed in words, often leading to miscommunication or misunderstanding.

Perceptions

The way in which something is regarded, understood, or interpreted.

Symbolic Form

A way of representing logical propositions using symbols to denote operation and variables, for clarity and simplification in logic and mathematics.