Internal problem ID [3723]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 17
Problem number: 469.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _exact, _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (3+2 x -2 y\right ) y^{\prime }+2 y=6 x +1} \]
✓ Solution by Maple
Time used: 0.484 (sec). Leaf size: 33
dsolve((3+2*x-2*y(x))*diff(y(x),x) = 1+6*x-2*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {-\sqrt {1-8 \left (x -\frac {1}{2}\right )^{2} c_{1}^{2}}+\left (3+2 x \right ) c_{1}}{2 c_{1}} \]
✓ Solution by Mathematica
Time used: 0.154 (sec). Leaf size: 67
DSolve[(3+2 x-2 y[x])y'[x]==1+6 x-2 y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {1}{2} i \sqrt {8 x^2-8 x-9-4 c_1}+x+\frac {3}{2} \\ y(x)\to \frac {1}{2} i \sqrt {8 x^2-8 x-9-4 c_1}+x+\frac {3}{2} \\ \end{align*}