Yesterday I started studying and preparing for a course in Differential Equations and today I came across something that confuses me; I watched a lecture on IVP and they used both Actual solution and Particular solution, as you can see here https://www.youtube.com/watch?v=b6WMmmMKf3Y so could someone please explain the difference? Is it something simple like Slope fields and Direction fields, where the only difference is the direction in Direction fields? I googled this and that, but with no luck. As I understand it, particular solution is a specific solution, opposite of a general solution, like when we have a slope field.

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    $\begingroup$ From the slides only I can say that "actual solution" and "particular solution" are just two interchangeable terms. $\endgroup$ – Evgeny Aug 30 '15 at 18:36
  • $\begingroup$ You're right, the course started and now that I asked him, he said he never heard of Actual solution before, but from what he could tell (from the video, that is) that they seem to be interchangeable, at least in these slides. $\endgroup$ – Dick Armstrong Sep 1 '15 at 21:42

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