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math121a-f23:october_30_monday

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math121a-f23:october_30_monday [2023/10/29 12:17]
pzhou 		math121a-f23:october_30_monday [2023/10/29 12:18] (current)
pzhou [Ex 4]
Line 68: Line 68:
 P(D)y(t)=∫P(D)G(t;s)g(s)ds=∫δ(t−s)g(s)ds=g(t). P(D) y(t) = \int P(D) G(t; s) g(s) ds = \int \delta(t-s)g(s) ds = g(t).  P(D)y(t)=∫P(D)G(t;s)g(s)ds=∫δ(t−s)g(s)ds=g(t). P(D) y(t) = \int P(D) G(t; s) g(s) ds = \int \delta(t-s)g(s) ds = g(t).
  
-==== Ex 4 ====+==== Ex 3 ====
 Consider the domain being $[0,\infty)$, and we have Consider the domain being $[0,\infty)$, and we have
  d/dt y(t) = g(t), \quad g(t)=1_{[1,2]}(t). y(0) = 0  d/dt y(t) = g(t), \quad g(t)=1_{[1,2]}(t). y(0) = 0
math121a-f23/october_30_monday.1698607073.txt.gz · Last modified: 2023/10/29 12:17 by pzhou

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