Internal problem ID [5265]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 5. Equations of first order and first degree (Exact equations). Supplemetary
problems. Page 33
Problem number: 23 (h).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _exact, _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {3 y+\left (3 x +4 y+5\right ) y^{\prime }=-2 x -4} \]
✓ Solution by Maple
Time used: 0.094 (sec). Leaf size: 33
dsolve((2*x+3*y(x)+4)+(3*x+4*y(x)+5)*diff(y(x),x)=0,y(x), singsol=all)
\[ y = -2-\frac {\frac {3 \left (x -1\right ) c_{1}}{4}+\frac {\sqrt {\left (x -1\right )^{2} c_{1}^{2}+8}}{4}}{c_{1}} \]
✓ Solution by Mathematica
Time used: 0.134 (sec). Leaf size: 61
DSolve[(2*x+3*y[x]+4)+(3*x+4*y[x]+5)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{4} \left (-\sqrt {x^2-2 x+25+16 c_1}-3 x-5\right ) y(x)\to \frac {1}{4} \left (\sqrt {x^2-2 x+25+16 c_1}-3 x-5\right ) \end{align*}