If `x^3+y^3-xy=sinx+1` then `y'(0)` is equal to

If y=y(x) and it follows the relation e^(xy^2)+ycos(x^2)=5 then y'(0) is equal to

If y=y(x) and it follows the relation e^(xy^2)+ycos(x^2)=5 then y'(0) is equal to

If for x ge 0, y = (x) is the solution of the differential equation, (x+1)dy=((x+1)^2+y-3)dx,y(2)=0 , then y(3) is equal to ….

If 2y=(cot^(-1) ((sqrt3cosx+sinx)/(cosx-sqrt3sinx)))^2, x in (0,pi/2) then y' is equal to

If ((2+cosx)/(3+y))(dy)/(dx)+sinx=0 and y(0)=1 , then y((pi)/(3)) is equal to

if y=(sinx+cosx)/(sinx-cosx) , then (dy)/(dx) at x=0 is equal to

If y=(sinx+cosx)/(sinx-cosx) , then (dy)/(dx) at x=0 is equal to

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

Let y=y(x) is a solution of (dy)/(dx)=f(x) where f(xy)=f(x)f(y) AA x,y in R and f(0)!=0 and y(0)=1/2 , then y(1/4)+y(3/4) is equal to (1)1 (2)2 (3) 3 (4) 4

If y^(1/n)+y^(-1/n) = 2x then (x^2-1)y_2+xy_1 is equal to