Mathematics
What Exactly Does It Mean to 'Solve' a Differential Equation?
Quick fact
Solving a differential equation is like finding the original story from a clue about its plot's speed — you must reverse the derivative using integration, and the story can have many possible beginnings.
Why this is interesting
You've solved equations like x + 2 = 5, but what if an equation involved a function's rate of change? What would the answer even look like?