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authorPrashant S2019-10-04 12:27:32 +0530
committerGitHub2019-10-04 12:27:32 +0530
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+# Example : 6 Chapter : 6.3 Page No: 321
+# Solve Differential equation
+
+# lambda1,lamda2,x1,x2,c,d are computed here.. for remaining details look textbook
+A<-matrix(c(1,0,1,2),ncol=2)
+lambda<-eigen(A)$values
+x<-round(eigen(A)$vectors)
+u<-c(2,1)
+c<-solve(x,u)
+print("Lambda 1 and Lambda 2")
+print(lambda)
+print("x1 and x2")
+print(x)
+print("c1 and c2 are")
+print(c)
+#The answer may slightly vary due to rounding off values
+#The answers provided in the text book may vary because of the computation process
+#Both answers are correct , here it is taken -Ax+b=0 , In the text book it is considered as Ax-b=0