Let `y^(prime)=(4y^2+4x y+x^2)/(4x^2) and y(1)=0` , then `y(e^(pi/2))` equals

Let y'=(4y^(2)+4xy+x^(2))/(4x^(2)) and y(1)=0 then y(e^((pi)/(2))) equals

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

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

Let y(x) be a solution of (1+x^2)"" (dy)/(dx)+2xy-4x^2=0 and y(0)=-1 . Then y(1) 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 sec^(2)xdx+(e^(2y)tan^(2)x+tan x)dy=0,0 lt x lt (pi)/(2), y(pi/4)=0 .If y(pi/6)=alpha ,then e^(8a) is equal to:

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