Exercise 7: The following two Mathematica commands can be used to find L{t{}. In[1]= Integrate[t“2 Exp[-s t], {t, 0, Inf

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Exercise 7 The Following Two Mathematica Commands Can Be Used To Find L T In 1 Integrate T 2 Exp S T T 0 Inf 1 (42.62 KiB) Viewed 226 times

Exercise 7: The following two Mathematica commands can be used to find L{t{}. In[1]= Integrate[t“2 Exp[-s t], {t, 0, Infinity}] In [2]:= LaplaceTransform[t“2, t, s] What do you get when you run each command? To see the significance of the difference, run the following two commands In[3]:= F[s_]=Integrate [t^2 Exp[-s t], {t, 0, Infinity}] In [4):= G[s_]=LaplaceTransform [t“2, t, s] (This defines two functions F(s) and G(s)). Now, calculate F(-3) and G(-3) by using the commands In[5]:= F[-3] In [6]= G[-3] Why did they return different results?