Please show each step, calculation, or math principle to arrive at the response for each prompt. I want to check my own work. (ODE stands for Ordinary Differential equations). Please no reposts.

Solve the ODEs below using the method of separation of variables; use variable substitut tions if appropriate, including problems without a suggested substitution. (a) y' = y(3 - y) y ( b) y = suggested substitution: u = y/x x+ xy (c) y = x- y (d) y' = (x-y-2)2 2xy (e) y' = 2 2 - y2