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+//ques4.1
+//clear
+//cd SCI
+//cd ("..")
+//cd ("..")
+//exec symbolic.sce
+clc
+disp(' y=e^(a(sin^-1)x)) --sign inverse x ');
+syms x a
+y=%e^(a*(asin(x)));
+disp('we have to prove (1-x^2)y(n+2)-(2n+1)xy(n+1)-(n^2+a^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=(1-x^2)*diff(y,x,n+2)-(2*n+1)*x*diff(y,x,n+1)-(n^2+a^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');