Transcript
![Page 1: Exponential Decay Model in Differential Equations](https://reader034.vdocument.in/reader034/viewer/2022042511/55cf8f24550346703b9953bd/html5/thumbnails/1.jpg)
In[1]:= eqtn = r'@tD == -0.1 * r@tD;
gensol = DSolve@eqtn, r@tD, tD;
parsol = DSolve@8eqtn, r@0D � 200<, r@tD, tD;
greqtn = r@tD �. parsol;
Plot@Evaluate@greqtnD, 8t, 0, 20<, PlotLegends ® "Expressions",
PlotRange ® 80, 200<, PlotLabel ® "Decay Model", GridLines ® 883<, 8<<,
AxesLabel ® 8"Time", "Radioactive material in Grams"<Dgrval = greqtn �. t ® 3
Out[5]=
0 5 10 15 20
Time
50
100
150
200
Radioactive material in Grams
Decay Model
200. ã-0.1 t
Out[6]= 8148.164<