Physics I / First-Order Differential Equations
Practice question · Multiple choice

Some equations can be solved by separation AND by an integrating factor. Why does having two valid methods not make the choice arbitrary?

Hints
  1. Try both on y+2y=0y' + 2y = 0 and compare the work.
  2. Correctness and efficiency are separate questions.
Show the answer

A. Because one route is usually far shorter for the equation

Why

Both are valid, and one is quicker. Reading the equation for its structure before committing is what makes method selection a skill rather than a lookup.

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