" If "(2.3)^(x)=(0.0023)^(3)=100" then the value of "(1)/(x)-(1)/(y)" equals "

If x^(2) - 3x + 1 = 0 , then the value of x^(3) + (1)/(x^(3)) is equal to

Let y=f (x) and x/y (dy)/(dx) =(3x ^(2)-y)/(2y-x^(2)),f(1)=1 then the possible value of 1/3 f(3) equals :

Let y=f (x) and x/y (dy)/(dx) =(3x ^(2)-y)/(2y-x^(2)),f(1)=1 then the possible value of 1/3 f(3) equals :

If y=(1)/(1+x+x^(2)+x^(3)) , then the value of (d^(2)y)/(dx^(2)) at x=0 is -

If (2x)/(3y)+(3y)/(2x)=1,(x,y!=0), then the value of 8x^(3)+27y^(3) 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=1+(1)/(x-1)+(2x)/((x-1)(x-2))+(3x^(2))/((x-1)(x-2)(x-3)) , then the value of -9y'(4) is equal to

If x,y are real and (x-1)^(2)+(y-4)^(2)=0 then the value of x^(3)+y^(3) is