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Solving a 1st order differential equation

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Uploaded by on Nov 15, 2007

This movie shows how to solve a first order differential differential equation.

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Howto & Style

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  • Probably because idiots are also human beings, just like yourself. Therefore, regardless of your fallen interpretation of their personhood, they can exercise their free will by writing the letter d any way they want to. By the way, this person is doing something to improve society. What are you doing?

  • Good explanation except when he integrated dy/y, it should be ln|y| (with absolute value brackets). A very common mistake by people but one that shouldn't be missed.

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  • Steady I Really Like This Video Solving a 1st order differential equation

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  • @rlewis1946 Right, it is just the definition of the log function but an example can help illustrate the idea. So if we have ln(y) = x, we can rearrange it like so: y = e^x. There is no number you can insert for "x" that would give "y" a negative value. Hope that makes sense.

  • @Abba2six This may seem like a dumb question, but why can't the answer never end up as a negative value? Is it because of the definitions of log functions in general? Thanks for your comment: it give another opportunity to learn....

    Roy Lewis Atlanta, Georgia USA

  • @JustOneChange It's been many, many years ago (1968) since I tried my hand at solving ODE's, so if you would can you help me remember why the absolute value of y must be used? I think it has something to do with the non-negative range of the Ln function (or logarithms in general).....But is the other more important reasons? Thanks for your comment, its really "jogged" my memory!

    Roy Lewis Atlanta, Georgia USA

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