If `y(t)` is a solution of `(1+t)dy/dt-t y=1` and `y(0)=-1` then `y(1)` is

The solution of (dy)/(dx)=(x^2+y^2+1)/(2x y) satisfying y(1)=1 is

If y(t) satisfies the differential equation y'(t)+2y(t)=2e^(-2t),y(0)=2 then y(1) equals

Let y=y(t) be a solution to the differential equation y^(prime)+2t y=t^2, then 16 ("lim")_(tvecoo)y/t is_______

Let y=y(t) be a solution to the differential equation y^(')+2ty=t^(2) , then 16 lim_(t to infty t) y/t is……………….

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

if y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)=

The solution of the primitive integral equation (x^2+y^2)dy=x y dx is y=y(x)dot If y(1)=1 and y(x_0)=e , then x_0 is

(dy)/(dx) + y = 1( y ne 1)

if x=(1+t)/t^3 ,y=3/(2t^2)+2/t satisfies f(x)*{(dy)/(dx)}^3=1+(dy)/(dx) then f(x) is:

if x=(1+t)/t^3 ,y=3/(2t^2)+2/t satisfies f(x)*{(dy)/(dx)}^3=1+(dy)/(dx) then f(x) is: