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]]>I have found difficulty in explaining when to plug in the initial condition and find C, especially for diffEq’s that result in an exponential function, as it is e^C in one step and C in the other. Is there a rule for when to find C? Is it always found before finding the solution as a function?

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]]>Sonal Patel

Begin forwarded message:

> From: Sonal Patel > Date: March 20, 2017 at 8:25:12 AM EDT > To: Teaching Calculus > Subject: Re: [New post] Table & Riemann Sum Questions (Type 5) > > Lin, > Thank you so much for giving valuable advice for these many years. > I had been using winplot file for series for so many years to show how adding power gets better curve. But now that file is not working due to “incompatible version”. > Can you please give me the directions how to make equation in the winplot. > I lost my written notes for that. I was so dependent on my old files. > Thank you in advance. > > > Sonal Patel > > >>

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]]>The Winplot website is no longer up it seems. You can try downloading it from http://www.winportal.com/winplot Rich Parris past away a few years ago and I guess there was no one to maintain it. I still use it often. I have had trouble with it today too. I don’t know what’s up with that, since it ran fine in Windows 10 recently. The format for series is under F1: sum(general term in terms of x and n, n , 0, A) On the A slider: setL = 0 and setR = 100 so it will increase by 1. So for example the cosine series is sum((-1)^(n)*x^(2n)/(2n)!,n,0, A)

Desmos will also do this nicely. Here is a link for sin(x) https://www.desmos.com/calculator/jcooohh9im and for ln(x) centered at x = 2 https://www.desmos.com/calculator/qjfbkwwhq2 You should be able to figure out how to do others by studying the equation on the left of the screen.

Hope this Helps/

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