![]() ![]() ![]() I had used his Java applet for many years in my Calculus 2 and DE classes, but began to have issues with unstable Java installations and nuisance security alerts. I created this page as a replacement for the very nice JODEapplet by Marek Rychlik. The value of k defaults to 0.01 if omitted. delta(x,k) approximates the Dirac Delta function using the Gaussian function exp(-(x/k) 2)/(|k|√π).step(x,a) is the unit step function, equivalent to when(x>a,1,0).This can be used to create piecewise-defined functions, such as when(x>0,x^2,y). if(condition, true-value, false-value) or when(condition, true-value, false-value).In addition to many standard functions (and some exotic ones), the following functions can be helpful for some DE modeling problems:.For example, I once solved an IVP for which the constant was C=2e+1, and realized that I got the correct plot when I entered … +(1+2e)e^(-x), while … +(2e+1)e^(-x) produced the wrong graph, because 2e+1 is interpreted 2×10 1=20. e can be entered as a simple constant (as can pi), but take care, because e also is used in exponential notation. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |