If x is real, then the minimum value of [(x²-x+1)/(x²+x+1)], is

x = cos θ, y = sin 5θ  ==>(1-x²) (d²y/dx²)  - x(dy/dx) =

The solution of x log x (dy/dx)+y=2 log x is

The solution of (x²y³+x²)+(y²x³+y²)dy=0 is

The solution of y² dx+(3xy-1)dy=0 is

If y=(x²-1)ⁿ, then (x²-1)y_n+2+2xy_n+1=

The solution of e^xcot y dx+(1-e^x)cosec²ydy=0 is

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

The solution of x cos(y/x)(y dx+x dy)=y sin y/x(x dy – y dx) is

A family of curves has the differential equation (xy)dy/dx = 2y² - x². Then the family of curves is