1 files changed, 37 insertions, 0 deletions
diff --git a/149/CH4/EX4.10/ques10.sce b/149/CH4/EX4.10/ques10.sce
new file mode 100755
index 000000000..604fbf59d
--- /dev/null
+++ b/149/CH4/EX4.10/ques10.sce
@@ -0,0 +1,37 @@
+clc
+disp(' y^(1/m)+y^-(1/m)=2x  ');
+disp(' OR y^(2/m)-2xy^(1/m)+1');
+disp('OR y=[x+(x^2-1)]^m and y=[x-(x^2-1)]^m ');
+
+syms x m
+disp('For y=[x+(x^2-1)]^m ');
+ y=(x+(x^2-1))^m
+disp('we have to prove (x^2-1)y(n+2)+(2n+1)xy(n+1)+(n^2-m^2)yn ') ;
+//n=input('Enter the order of differentiation ");
+disp('calculating  yn for various values of n');
+for n=1:4
+  
+  //yn=diff(F,x,n)
+  F=(x^2-1)*diff(y,x,n+2)+(2*n+1)*x*diff(y,x,n+1)+(n^2-m^2)*diff(y,x,n);
+  disp(n); 
+  disp('the expression for yn is ');
+  disp(F);
+  disp('Which is equal to 0 ');
+
+end
+disp('For y=[x-(x^2-1)]^m ');
+ y=(x-(x^2-1))^m
+disp('we have to prove (x^2-1)y(n+2)+(2n+1)xy(n+1)+(n^2-m^2)yn ') ;
+//n=input('Enter the order of differentiation ");
+disp('calculating  yn for various values of n');
+for n=1:4
+  
+  //yn=diff(F,x,n)
+  F=(x^2-1)*diff(y,x,n+2)+(2*n+1)*x*diff(y,x,n+1)+(n^2-m^2)*diff(y,x,n);
+  disp(n); 
+  disp('the expression for yn is ');
+  disp(F);
+  disp('Which is equal to 0 ');
+
+end
+disp('Hence proved');