If `x(dy)/(dx)=x^(2)+y-2, y(1)=1`, then `y(2)` equals ………………..

If y=y(x) is the solution of the differential equation x(dy)/(dx)+2y=x^(2) satisfying y(1)=1 , then y(1/2) is equal to (7k)/16 . The value of k is___________________.

If (dy)/(dx)=(2^(x+y)-2^(x))/(2^(y)),y(0)=1 then y(1) is equal to

If (dx)/(dy)=(1+x-y^(2))/(y),x(1)=1 ,then 5x(2) is equal to_____________.

If y = y(x) is the solution of the differential equation, x dy/dx+2y=x^2 satisfying y(1) = 1, then y(1/2) is equal to

If y=y(x) and (2+sin x)/(y+1)((dy)/(dx))=-cos x,y(0)=1, then y((pi)/(2)) equals