$$y'+P(x) \cdot y=Q(x)$$

Why it's called Linear Differential Equation? The function y might be curved.


marked as duplicate by Kenny Lau, MrYouMath, Alex S, Marcus M, zipirovich Oct 27 '17 at 17:47

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    $\begingroup$ It's the differential equation which is linear, not the solution. (But I don't know why such things are called linear. I have guesses, but just that.) $\endgroup$ – Jason DeVito Oct 27 '17 at 16:58
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    $\begingroup$ Because differential operator : $\hat{L}=\frac{d}{dx}+P(x)$ is a linear operator. $\endgroup$ – Sunyam Oct 27 '17 at 17:00
  • $\begingroup$ @FatihAydin no, just let this question be closed. You can keep this question undeleted. $\endgroup$ – Kenny Lau Oct 27 '17 at 17:15