Internal problem ID [3750]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 18
Problem number: 496.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _exact, _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (8+5 x -12 y\right ) y^{\prime }+5 y=2 x +3} \]
✓ Solution by Maple
Time used: 0.453 (sec). Leaf size: 32
dsolve((8+5*x-12*y(x))*diff(y(x),x) = 3+2*x-5*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {-\sqrt {\left (x +4\right )^{2} c_{1}^{2}+24}+\left (5 x +8\right ) c_{1}}{12 c_{1}} \]
✓ Solution by Mathematica
Time used: 0.143 (sec). Leaf size: 77
DSolve[(8+5 x-12 y[x])y'[x]==3+2 x-5 y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{12} \left (-i \sqrt {-x^2-8 x-16 (4+9 c_1)}+5 x+8\right ) \\ y(x)\to \frac {1}{12} \left (i \sqrt {-x^2-8 x-16 (4+9 c_1)}+5 x+8\right ) \\ \end{align*}