If the differentiable equation `dy/dx-y=y^2(sinx+cosx)` with y(0) =1 then `y(pi)` has the value equal to (A) `-e^pi` (B) `-e^pi` (C) `e^-pi` (D) `-e^-pi`

If y= y(x) is the solution of the differential equation dy/dx=(tan x-y) sec^(2)x, x in(-pi/2,pi/2), such that y (0)=0, than y(-pi/4) is equal to (a) 1/e-2 (b) 1/2-e (c) 2+1/e (d) e-2

Let y(x) be the solution of the differential equation (dy)/(dx)+(3y)/(cos^2x)=1/(cos^2x) and y(pi/4)=4/3 then vaue of y(-pi/4) is equal to (a) -4/3 (b) 1/3 (c) e^6+1/3 (d) 3

If (2+sinx)(dy)/(dx)+(y+1)cosx=0 and y(0)=1 , then y((pi)/(2)) is equal to

If (2+sinx)(dy)/(dx)+(y+1)cosx=0 and y(0)=1 , then y((pi)/(2)) is equal to

If (2+sinx)(dy)/(dx)+(y+1)cosx=0 and y(0)=1 , then y((pi)/(2)) is equal to