Internal problem ID [7807]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 227.
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 (4 y-3 x -5\right ) y^{\prime }-3 y+7 x +2=0} \end {gather*}
✓ Solution by Maple
Time used: 0.504 (sec). Leaf size: 38
dsolve((4*y(x)-3*x-5)*diff(y(x),x)-3*y(x)+7*x+2=0,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: 0.104 (sec). Leaf size: 69
DSolve[(4*y[x]-3*x-5)*y'[x]-3*y[x]+7*x+2==0,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*}