Internal problem ID [4012]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 27
Problem number: 772.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_quadrature]
\[ \boxed {{y^{\prime }}^{2}+2 y^{\prime }=-x} \]
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 35
dsolve(diff(y(x),x)^2+2*diff(y(x),x)+x = 0,y(x), singsol=all)
\begin{align*} y \left (x \right ) = -x +\frac {2 \left (1-x \right )^{\frac {3}{2}}}{3}+c_{1} y \left (x \right ) = -x -\frac {2 \left (1-x \right )^{\frac {3}{2}}}{3}+c_{1} \end{align*}
✓ Solution by Mathematica
Time used: 0.015 (sec). Leaf size: 47
DSolve[(y'[x])^2+2 y'[x]+x==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {2}{3} (1-x)^{3/2}-x+c_1 y(x)\to \frac {2}{3} (1-x)^{3/2}-x+c_1 \end{align*}