Differential equations help

Solve the given DE:
1) y' = x^2 / y

2) y' = x^2 / y(1+x^3)

Please include steps so i can see
Thank you

1)

dy/dx= x^2/y

y dy = x^2 dx

y^2/2 = x^3/3 +C

y = sq.rt.(2/3x^3) + C

2. dy/dx = x^2/y(1+x^3)

y dy = (x^2/(1+x^3) dx (using u substitution)

1/3 integral(du/u) = 1/3ln|u| = 1/3 ln| 1 + x ^3 |

y^2/2 = 1/3 ln| 1 + x^3 | + C

y = sq.rt.(2/3ln(1+x^3)) + C