If y = 5 cos x – 3 sin x, prove that 
2
2
0
d y
y
dx
+
=
Rationalised 2023-24
 MATHEMATICS
140
12 If y = cos–1 x, Find  
2
2
d y
dx
in terms of y alone 13 If y = 3 cos (log x) + 4 sin (log x), show that x2 y2 + xy1 + y = 0
14