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author | priyanka | 2015-06-24 15:03:17 +0530 |
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committer | priyanka | 2015-06-24 15:03:17 +0530 |
commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
tree | ab291cffc65280e58ac82470ba63fbcca7805165 /149/CH4/EX4.9/ques9.sce | |
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initial commit / add all books
Diffstat (limited to '149/CH4/EX4.9/ques9.sce')
-rwxr-xr-x | 149/CH4/EX4.9/ques9.sce | 24 |
1 files changed, 24 insertions, 0 deletions
diff --git a/149/CH4/EX4.9/ques9.sce b/149/CH4/EX4.9/ques9.sce new file mode 100755 index 000000000..364058990 --- /dev/null +++ b/149/CH4/EX4.9/ques9.sce @@ -0,0 +1,24 @@ +//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');
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