1 files changed, 38 insertions, 0 deletions
diff --git a/260/CH13/EX13.4/13_4.sce b/260/CH13/EX13.4/13_4.sce
new file mode 100644
index 000000000..f67c1c3a0
--- /dev/null
+++ b/260/CH13/EX13.4/13_4.sce
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+// about the analytical integration for the analytical solution
+//Eg-13.4
+//pg-529
+
+clear
+clc
+
+
+x(1) = 0;
+yb(1) = 0;
+y(1) = 1;    //Initial condition
+h = 0.1;
+deff('out = func(in1,in2)','out = 0.5*(1+in1)*in2^2')
+
+//Taking the exact values using the expression calculated analytically as y = 4/(4-2*x-x^2)
+z(1) = exp(x(1)^3/3);
+
+for(i = 2:11)
+    
+    x(i) = 0.1+(i-2)*0.1;
+    z(i+1) = 4/(4-2*x(i)-x(i)^2);
+end
+
+for(i = 1:10)
+    yb(i+1) = y(i) + h*func(x(i),y(i));
+    y(i+1) = y(i) + h/2*(func(x(i),y(i)) + func(x(i+1),yb(i+1)));
+end
+
+
+
+printf('   x         yPc        yExact\n')
+
+for(i = 2:11)
+    printf('%f    %f    %f\n',x(i),y(i),z(i+1))
+end
+
+printf('\nSolving analytically gives :\n')
+printf('y = 4/(4-2*x-x^2)\n')
+\ No newline at end of file