initial commit / add all books

1 files changed, 37 insertions, 0 deletions

diff --git a/149/CH4/EX4.10/ques10.sce b/149/CH4/EX4.10/ques10.sce
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+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');