Internal problem ID [1941]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 7, page 28
Problem number: 19.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {y+\left (4 x +2 y+1\right ) y^{\prime }=-2 x} \] With initial conditions \begin {align*} \left [y \left (-\frac {1}{6}\right ) = 0\right ] \end {align*}
✓ Solution by Maple
Time used: 0.203 (sec). Leaf size: 21
dsolve([(2*x+y(x))+(4*x+2*y(x)+1)*diff(y(x),x)=0,y(-1/6) = 0],y(x), singsol=all)
\[ y \left (x \right ) = -\frac {\operatorname {LambertW}\left (-1, -2 \,{\mathrm e}^{-9 x -\frac {7}{2}}\right )}{6}-\frac {2}{3}-2 x \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{(2*x+y[x])+(4*x+2*y[x]+1)*y'[x]==0,{y[-1/6]==0}},y[x],x,IncludeSingularSolutions -> True]
{}