Internal problem ID [4452]
Book: Ordinary Differential Equations, By Tenenbaum and Pollard. Dover, NY 1963
Section: Chapter 2. Special types of differential equations of the first kind. Lesson
8
Problem number: Differential equations with Linear Coefficients. Exercise 8.12, page
69.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {2 y-\left (x +2 y-1\right ) y^{\prime }=-3 x -3} \]
✓ Solution by Maple
Time used: 0.187 (sec). Leaf size: 93
dsolve((3*x+2*y(x)+3)-(x+2*y(x)-1)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {\left (-2-x \right ) {\operatorname {RootOf}\left (-1+\left (16 c_{1} x^{5}+160 c_{1} x^{4}+640 c_{1} x^{3}+1280 c_{1} x^{2}+1280 c_{1} x +512 c_{1} \right ) \textit {\_Z}^{25}+\left (-80 c_{1} x^{5}-800 c_{1} x^{4}-3200 c_{1} x^{3}-6400 c_{1} x^{2}-6400 c_{1} x -2560 c_{1} \right ) \textit {\_Z}^{20}\right )}^{5}}{2}+\frac {3 x}{2}+\frac {9}{2} \]
✓ Solution by Mathematica
Time used: 60.094 (sec). Leaf size: 3081
DSolve[(3*x+2*y[x]+3)-(x+2*y[x]-1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
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