[" 7.यदि "y=sin(sin x)" हो,तो सिद्ध कीजिए कि "],[qquad y_(2)+y_(1)tan x+y cos^(2)x=0]

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

If y= sin (sin x) then y _(2) + (tan x) y _(1) + y (cos ^(2) x)=

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 cos (sin x) + b sin (sin x) then y _(2) + (tan x) y_(1)=

If y = Tan ^(-1) ((cos x- sin x)/(cos x + sin x)) then (d ^(2) y)/(dx ^(2))=

Find y ', if : (a) y=3 cos x + 2 sin x, (b) y=(sin x+cos x)/(sin x -cos x) (c ) y=(x^(2)+1) arc tan x, (d) y=x^(3) arc sin x

Solution of differential equation (2x cos y + y ^ (2) cos x) dx (2y sin xx ^ (2) sin y) dx = 0 is (a) x ^ (2) cos y + y ^ (2) sin x = C (b) x cos yy sin x = C (c) x ^ (2) cos ^ (2) y + y ^ (2) sin ^ (2) x = C (d) x cos y + y sin x = C

If sin x cos y=(1)/(4) and 3tan x=4tan y then sin(x-y)=

If sin x cos y=(1)/(4) and 3tan x=4tan y then sin(x-y)=