Internal problem ID [14249]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number: 20.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_1st_order, _with_exponential_symmetries]]
\[ \boxed {y^{\prime }-\frac {1}{x +y^{2}}=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 20
dsolve(diff(y(x),x)=1/(y(x)^2+x),y(x), singsol=all)
\[ x +y \left (x \right )^{2}+2 y \left (x \right )+2-{\mathrm e}^{y \left (x \right )} c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.121 (sec). Leaf size: 24
DSolve[y'[x]==1/(y[x]^2+x),y[x],x,IncludeSingularSolutions -> True]
\[ \text {Solve}\left [x=-y(x)^2-2 y(x)+c_1 e^{y(x)}-2,y(x)\right ] \]