(A) 0(B) /4(C) a/2(D) T4-3/46. Fi= fn(sin x)dx then en(sin x + cos x)dx((A) (B) {(D)IIf f(y) = y sinyd) y anor for or er 197

If y= sin (sin x) then show that, (d^(2)y)/(dx^(2)) + (tan x) (dy)/(dx) + y cos^(2)x = 0

If y = a sin x + b cos x , find (d^2y)/(dx^2) in terms of y.

If y =3 sin x-4 sin^(3) x , then (d y)/(dx) at x=(pi)/(12) .

Solutions of the differential equations (dy)/(dx) + (y)/(x) = sin x is : a) x(y+cos x ) = sin x+ c b) x(y-cos x ) = sin x+c c) x( y cos x ) = sin x +c d) x(y-cos x) = cos x+ c

If y= sin x+cos x then (d^(2)y)/(dx^(2)) is :-

If y= sin x+cos x then (d^(2)y)/(dx^(2)) is :-

Find (d^2 y)/(dx^2) of the following: x = a cos^3 theta , y= b sin^3 theta

If y sin (sin x) and (d^(2)y)/(dx^(2))+(dy)/(dx) tan x + f(x) = 0, then find f(x).

If y =sin (sin x) and (d^(2)y)/(dx^(2))+(dy)/(dx) tan x + f(x) = 0 , then find f(x) .