Internal problem ID [3740]
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`]]
\[ \boxed {\left (5+3 x -4 y\right ) y^{\prime }+3 y=7 x +2} \]
✓ Solution by Maple
Time used: 0.156 (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)
\[ y \left (x \right ) = \frac {29}{19}-\frac {-\frac {3 \left (-7+19 x \right ) c_{1}}{2}+\frac {\sqrt {-19 \left (-7+19 x \right )^{2} c_{1}^{2}+4}}{2}}{38 c_{1}} \]
✓ Solution by Mathematica
Time used: 0.145 (sec). Leaf size: 71
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 (-i \sqrt {19 x^2-14 x-25-16 c_1}+3 x+5\right ) y(x)\to \frac {1}{4} \left (i \sqrt {19 x^2-14 x-25-16 c_1}+3 x+5\right ) \end{align*}