" 3.If "y=x+tan x," show that "cos^(2)x(d^(2)y)/(dx^(2))-2y+2x=0

If y=x+tanx , show that cos^(2)x(d^(2)y)/(dx^(2))-2y+2x=0 .

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

If y=x+tanx , show that cos^2x\ (d^2y)/(dx^2)-2y+2x=0 .

If y= e^(tan x) then show that, (cos^(2)x) (d^(2)y)/(dx^(2))- (1+ sin 2x) (dy)/(dx)=0

If y=x+tan x , show that cos^(2) x. (dy)/(dx)=2-sin^(2)x .

Find the second order derivative of the following functions If y = x + tan x , prove that cos^2 x . (d^2 y)/(dx^2) - 2y + 2x = 0

If y=tan^(-1)x, show that (1+x^(2))(d^(2)y)/(dx^(2))+2x(dy)/(dx)=0

If y=x^(3)+tan x, show that (d^(2)y)/(dx^(2))=6x+2sec^(2)tan x