From 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 Mon Sep 17 00:00:00 2001
From: prashantsinalkar
Date: Tue, 10 Oct 2017 12:27:19 +0530
Subject: initial commit / add all books

---
 1430/CH13/EX13.8/exa13_8.sce | 22 ++++++++++++++++++++++
 1 file changed, 22 insertions(+)
 create mode 100644 1430/CH13/EX13.8/exa13_8.sce

(limited to '1430/CH13/EX13.8/exa13_8.sce')

diff --git a/1430/CH13/EX13.8/exa13_8.sce b/1430/CH13/EX13.8/exa13_8.sce
new file mode 100644
index 000000000..f0ad8cb85
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+++ b/1430/CH13/EX13.8/exa13_8.sce
@@ -0,0 +1,22 @@
+// Example 13.8
+// Inversion with Time delay
+s=%s;
+// x(t)=20*u(t)40*u(t-3)
+// time domain analysis for the response y(t) yields the DE
+// y'(t)-5*y(t)=-x(t)=-20*u(t)+40*u(t-3)--equation (1)
+// after taking Laplace transform of equation (1)
+disp("Y(s)=(-20+40*exp(-3*s))/(s*(s-5)");
+disp("=> Y(s)= F1_s-2*F1_s*exp(-3*t)")
+F1_s= -20/(s*(s-5));
+pfe=pfss(F1_s);
+
+// Taking inverse Laplace of pfe, we get
+f1=4-4*exp(5*t); 
+
+t=0:0.001:5;
+//from expansion of Y(s)
+y=4-4*exp(5*t)-(8-8*exp(5*(t-3))); // Using Time delay property , t>=0
+plot(t,y)
+xlabel('t')
+ylabel('y(t)')
+title('Function Waveform')
-- 
cgit