1. The problem statement, all variables and given/known data For the d.e y' = x^2+y^2 Show that the solution with y(0)=0 has a vertical asymptote at some point x_0, Then I have to try and find the upper and lower bounds for x_0 I'm not able to solve this for y because when I bring the y^2 to the LHS 3. The attempt at a solution I'm trying to learn differential equations on my own though readings and I'm having trouble getting the hang of it... for the above question I tried a few things such as y' - y^2 = x^2 I've tried a number of methods including multiplying throughout by x and I can't find an equation whose differential is y' - y^2 OR xy' - y^2 because of the negative sign? SO my main prob is I can't begin to solve it for y(0)=0 because I don't know how to find y? Any help will be much appreciated!