Internal problem ID [3739]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 18
Problem number: 485.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _exact, _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (5+2 x -4 y\right ) y^{\prime }+2 y=3+x} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 41
dsolve((5+2*x-4*y(x))*diff(y(x),x) = 3+x-2*y(x),y(x), singsol=all)
\begin{align*} y \left (x \right ) = \frac {x}{2}+\frac {5}{4}-\frac {\sqrt {4 c_{1} -4 x +25}}{4} y \left (x \right ) = \frac {x}{2}+\frac {5}{4}+\frac {\sqrt {4 c_{1} -4 x +25}}{4} \end{align*}
✓ Solution by Mathematica
Time used: 0.111 (sec). Leaf size: 61
DSolve[(5+2 x-4 y[x])y'[x]==3+x-2 y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{4} \left (2 x-i \sqrt {4 x-25-16 c_1}+5\right ) y(x)\to \frac {1}{4} \left (2 x+i \sqrt {4 x-25-16 c_1}+5\right ) \end{align*}