1 files changed, 32 insertions, 0 deletions
diff --git a/50/CH2/EX2.4/ex_4.sce b/50/CH2/EX2.4/ex_4.sce
new file mode 100755
index 000000000..751cc0f5c
--- /dev/null
+++ b/50/CH2/EX2.4/ex_4.sce
@@ -0,0 +1,32 @@
+                                   // The equation cos(x)-x*%e^x==0 has  real roots.
+                                   // the graph of this function can be observed here.
+xset('window',3);                                   
+x=0:.01:2;                                             // defining the range of x.
+deff('[y]=f(x)','y=cos(x)-x*%e^x');                  //defining the cunction.
+y=feval(x,f);
+ 
+a=gca(); 
+ 
+a.y_location = "origin";
+ 
+a.x_location = "origin"; 
+plot(x,y)                                                  // instruction to plot the graph 
+title(' y = cos(x)-x*%e^x')
+
+// from the above plot we can infre that the function has root between   
+// the interval (0,1)
+
+
+// a=0;b=1,
+
+// we call a user-defined function 'bisection' so as to find the approximate 
+// root of the equation with a defined permissible error.  
+
+bisection(0,1,f)
+
+// since in the example 2.4 we have been asked to perform 5 itterations ,
+
+bisection5(0,1,f)  
+
+
+// hence the approximate root after 5 iterations is 0.515625 witin the permissible error of 10^-4,
+\ No newline at end of file