Internal problem ID [4450]
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 8.10, page
69.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _exact, _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {-2 y-\left (2 x +7 y-1\right ) y^{\prime }=-3 x -4} \]
✓ Solution by Maple
Time used: 0.109 (sec). Leaf size: 33
dsolve((3*x-2*y(x)+4)-(2*x+7*y(x)-1)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {-\sqrt {7+15625 \left (x +\frac {26}{25}\right )^{2} c_{1}^{2}}+\left (-50 x +25\right ) c_{1}}{175 c_{1}} \]
✓ Solution by Mathematica
Time used: 0.126 (sec). Leaf size: 65
DSolve[(3*x-2*y[x]+4)-(2*x+7*y[x]-1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{7} \left (-\sqrt {25 x^2+52 x+1+49 c_1}-2 x+1\right ) \\ y(x)\to \frac {1}{7} \left (\sqrt {25 x^2+52 x+1+49 c_1}-2 x+1\right ) \\ \end{align*}