Internal problem ID [3232]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 18
Problem number: 486.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class C], _exact, _rational, [_Abel, 2nd type, class A]]
Solve \begin {gather*} \boxed {\left (5+3 x -4 y\right ) y^{\prime }-2-7 x +3 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.453 (sec). Leaf size: 38
dsolve((5+3*x-4*y(x))*diff(y(x),x) = 2+7*x-3*y(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {29}{19}-\frac {-\frac {3 \left (19 x -7\right ) c_{1}}{2}+\frac {\sqrt {-19 \left (19 x -7\right )^{2} c_{1}^{2}+4}}{2}}{38 c_{1}} \]
✓ Solution by Mathematica
Time used: 0.116 (sec). Leaf size: 69
DSolve[(5+3 x-4 y[x])y'[x]==2+7 x-3 y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{4} \left (3 x-i \sqrt {x (19 x-14)-25-16 c_1}+5\right ) \\ y(x)\to \frac {1}{4} \left (3 x+i \sqrt {x (19 x-14)-25-16 c_1}+5\right ) \\ \end{align*}