A
one-dimensional equation is an equation that involves only one variable and is related to a single direction or dimension. The term "one-dimensional" usually refers to problems or equations where the variable can only change along a straight line or in one direction.
For example, a simple one-dimensional equation might look like this:
\[ 2x + 3 = 7 \]
In this equation:
- The equation describes how x changes to satisfy the condition (here, where the sum of 2x + 3 equals 7).
To solve it:
- Subtract 3 from both sides:
\[ 2x = 4 \]
- Divide both sides by 2:
\[ x = 2 \]
So, the solution to this one-dimensional equation is
x = 2.
In physics or engineering, one-dimensional equations can describe things like the motion of an object along a straight line, temperature along a rod, or electrical current in a circuit, where changes only happen in one direction.