If `(1+x^2)(dy)/(dx)=x(1-y),y(0)=4/3,` then the value of `y(8)+8/9` is

If y(x) is a solution of (dy)/(dx)-(xy)/(1+x)=(1)/(1+x) and y(0)=-1 , then the value of y(2) is

If (2x)/(3y)+(3y)/(2x)=1,(x,y!=0), then the value of 8x^(3)+27y^(3) is

x^2dy+(y-1/x)dx=0 at y(1)=1 then find the value of y(1/2)

If y(x) is solution of x(dy)/(dx)+2y=x^(2), y(1)=1 then value of y(1/2)= (a) -(49)/(16) (b) (49)/(16) (c) (45)/(8) (d) -(45)/(8)

if ( dy )/(dx) =1 + x +y +xy and y ( -1) =0 , then the value of ( y (0) +3 - e^(1//2))

if y^(x)-x^(y)=1 then the value of (dy)/(dx) at x=1 is

Let y = y(x) be the solution of the differential equation e^(x)sqrt(1-y^(2))dx+((y)/(x))dy=0,y(1)=-1 . Then the value of (y(3))^(2) is equal to :

If y satisfies (dy)/(dx)=(e^(y))/(x^(2))-(1)/(x) and y(1)=0 then the value of e^(y(2)) is

The radius of y(sqrt(8)) + (17)/(9) if (1+x^(2))(dy)/(dx) = x(1-y), y(0) = (4)/(3) is ________