The equation `e^(sin^(-1)x)/pi=y/(log y)` has

If y=y(x) is the solution of the equation e^(sin y) cos y""(dy)/(dx) +e^(sin y) cos x = cos x,y (0)=0, then 1+y ((pi)/(6)) +( sqrt(3))/(2) y((pi)/(3)) +(1)/( sqrt(2)) y((pi)/(4)) is equal to

IF y = y (x) is the solution of the differential equation, x (dy)/(dx) = y (log_(e) y - log_(e) x + 1) , when y(1) = 2, then y(2) is equal to _______

The particular solution of the differential equation y(1+log x)(dx)/(dy)-x log x=0 when x=e,y=e^(2) is

The particular solution of the differential equation y(1+log x)(dx)/(dy)-x log x=0 when x=e,y=e^(2) is

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

The solution of the differential equation (dy)/(dx) = (x(2 log x+1))/(sin y +y cos y) is