If the solution curve of the differential equation $\left( 2 x - 10 y ^ { 3 } \right) d y + y d x = 0$, passes through the points $( 0,1 )$ and $( 2 , \beta )$, then $\beta$ is a root of the equation?
(1) $y ^ { 5 } - 2 y - 2 = 0$
(2) $y ^ { 5 } - y ^ { 2 } - 1 = 0$
(3) $2 y ^ { 5 } - y ^ { 2 } - 2 = 0$
(4) $2 y ^ { 5 } - 2 y - 1 = 0$