Solve the following differential equation.
(dy)/(dt) + (2ty)/(1+t²) = 4ty

a) y = ((2t² + (4/3)t⁶ + C) / (1 + t²)²)
b) y = ((2/3)(1 + t²)³ + C) / (1 + t²)²
c) y = (1(1 + t²)² + C) / (1 + t²)
d) y = ((4/3)t⁶ + C) / (1 + t²)