# First order differential equation question

by idks16
Tags: differential eqns
 P: 5 I got a slightly different answer than what you posted from the text $y(x) = -\sqrt{\frac{1}{2}(x^2+1)}$ and mathematica agrees with me, so perhaps a typo? Anyway, it looks like your on the right track, although go back through the integration, I think you may be off by a factor. Then apply the boundary condition to find the integration constant. And simplify the algebra down to the answer. Also be conscience of taking roots, $y(x) = ±(stuff)^{1/4}$ good luck