Internal problem ID [13128]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 8. Review exercises for part of part II. page 143
Problem number: 26.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-y^{2} x -3 y^{2}=x +3} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x)=x*y(x)^2+3*y(x)^2+x+3,y(x), singsol=all)
\[ y \left (x \right ) = \tan \left (\frac {1}{2} x^{2}+c_{1} +3 x \right ) \]
✓ Solution by Mathematica
Time used: 0.206 (sec). Leaf size: 19
DSolve[y'[x]==x*y[x]^2+3*y[x]^2+x+3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \tan \left (\frac {x^2}{2}+3 x+c_1\right ) \]