What is separation of variables?

Problem Statement

What is separation of variables?

Step-by-Step Explanation

Separation of variables moves each variable to its own side so both sides can be integrated.

1. Identify what the question is asking. In Differential Equations, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
3. Work one step at a time and keep units, signs, and restrictions visible.
4. Check whether the answer makes sense in the original context.

Final Answer

Separation of variables moves each variable to its own side so both sides can be integrated. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.