1. The problem statement, all variables and given/known data a. find the general solution to this differential equation dy/dx = x(y-1)^2 b. find the particular solution to the given initial condition f(0) = 1 c. use the solution found in b to find the range of f 2. Relevant equations none really 3. The attempt at a solution this question seemed simple, but i cant really get the right answer. here is my attempt *i use different letters after manipulating constants, because they are still constants after adding/subtracting/dividing/multiplying dy/dx = x(y-1)^2 *separation of variables* x dx = (y-1)^-2 dy *integrate both sides* x^2/2 + C1= -(y-1)^-1 + C2 x^2/2 = -(y-1)^-1 + K solve for y (x^2/2 = -1/(y-1) + K) * 2 x^2 = -2/(y-1) + L x^2 = -2(y-1)^-1 + L (x^2 + H = -2(y-1)^-1 ) * -1/2 x^2/2 + G = (y-1)^-1 raise everything to the negative 1 (x^2/2 +G)^-1 = y-1 x^2/2 +G = (x^2 + 2G)/2 ((x^2 + 2G)/2)^-1 = 2/(x^2 + 2G) 2/(x^2 + 2G) + 1 = y but i can tell already this is the wrong answer, and with a wrong general solution, i cant do the other parts of the problem.