1. The problem statement, all variables and given/known data 1. x(x+y)y' = y(x-y) 2.y' = (4x + y)^2 3. (x+y)y' = 1 2. Relevant equations I have tried using the substitution method v =, the homogeneous method as well. 3. The attempt at a solution For 1. i factored out the xy and got 1/xy y' = integral ( (1-y/x)/(1+(x/y)) but cant take it further to the final answer ln(xy) = (x/y) + C For 2. i tried sub v = 4x+y, but didnt even come close to the answer For 3. I tried homogenous equations making it (1+y/x)y' = 1/x, but i get stuck with 1/x^2 later on which i cant factor to make it a simple first order linear diff... PLEASE HELP!!