Let `y=y(x)` be the solution of the differential equation, `xy'-y=x^(2)(x cos x+sin x)` If `y(pi)=pi,` then `y'((pi)/(2))+y((pi)/(2))` is equal to :

Let y=g(x) be the solution of the differential equation sinx ((dy)/(dx))+y cos x=4x, x in (0,pi) If y(pi/2)=0 , then y(pi/6) is equal to

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

Let y=y(x) be the solution of the differential equation, dy/dx+y tan x=2x+x^(2)tanx, x in(-pi/2,pi/2), such that y(0)= 1. Then

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

Find the solution of the differential equation cos ydy+cosxsinydx=0 given that y=pi//2 , when x=pi//2.

Find the solution of the differential equation cos ydy+cosxsinydx=0 given that y=pi//2 , when x=pi//2.

The solution of the differential equation 2x^2y(dy)/(dx)=tan(x^2y^2)-2x y^2, given y(1)=pi/2, is

Solve the differential equation "dy=cos x(2-y cosec x)dx" given that y=2, "when x" d=(pi)/(2)

If y = y ( x ) is the solution of differential equation sin y (dy ) /(dx ) - cos y = e ^ ( - x ) such that y ( 0 ) = ( pi ) /(2) then y (A) is equal to

The solution of the differential equation 2x^(2)y(dy)/(dx) = tan(x^(2)y^(2))-2xy^(2) , given y(1) = sqrt(pi/2) , is