If ∫sin^-1[2x/(1+x²)]dx=f(x)-log(1+x²)+c then f(x) is equal to

If x²y-x³(dy/dx)=y⁴cosx then x³y is equal to

If (dy/dx)=[y+xtan(y/x)]/x then sin(y/x) is equal to

The equation of the hyperbola with its transverse axis is parallel to x-axis, and its centre is (-2,1), the length of transverse axis is 10 and eccentricity 6/5 is