Internal problem ID [2992]
Book: Differential equations, Shepley L. Ross, 1964
Section: 2.4, page 55
Problem number: 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _exact, _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {2 y+\left (2 x +y+1\right ) y^{\prime }=-5 x -1} \]
✓ Solution by Maple
Time used: 0.109 (sec). Leaf size: 32
dsolve((5*x+2*y(x)+1)+(2*x+y(x)+1)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = -3-\frac {2 c_{1} \left (x -1\right )+\sqrt {-\left (x -1\right )^{2} c_{1}^{2}+1}}{c_{1}} \]
✓ Solution by Mathematica
Time used: 0.188 (sec). Leaf size: 53
DSolve[(5*x+2*y[x]+1)+(2*x+y[x]+1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\sqrt {-x^2+2 x+1+c_1}-2 x-1 y(x)\to \sqrt {-x^2+2 x+1+c_1}-2 x-1 \end{align*}