A continuously differentiable function `phi(x)` in `(0,pi)` satisfying `y'=1+y^(2),y(0)=0=y(pi)` is

A continuously differentiable function phi(x)in (0,pi//2) satisfying y'=1+y^(2),y(0)=0 , is

A continuously differentiable function phi(x)in (0,pi//2) satisfying y'=1+y^(2),y(0)=0 , is

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

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

if y(x) is satisfy the differential equation (dy)/(dx)=(tan x-y)sec^(2)x and y(0)=0. Then y=(-(pi)/(4)) 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), y in [0, (pi)/(2)) is the solution of the differential equation sec y (dy)/(dx)- sin (x+y) - sin (x-y)= 0 , with y(0)= 0, then 5y'((pi)/(2)) is equal to _____

The largest value of c such that there exists a differentiable function f(x) for -c lt x lt c that satisfies the equation y_1 = 1+y^2 with f(0)=0 is (A) 1 (B) pi (C) pi/3 (D) pi/2