Internal problem ID [3705]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 16
Problem number: 451.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (1-3 x +y\right ) y^{\prime }+2 y=2 x} \]
✓ Solution by Maple
Time used: 0.469 (sec). Leaf size: 41
dsolve((1-3*x+y(x))*diff(y(x),x) = 2*x-2*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {1}{2}+\frac {\left (-1+2 x \right ) \left (-c_{1} -c_{1} \operatorname {RootOf}\left (\left (-1+2 x \right )^{3} c_{1} \textit {\_Z}^{4}-\textit {\_Z} -3\right )\right )}{2 c_{1}} \]
✓ Solution by Mathematica
Time used: 60.161 (sec). Leaf size: 4937
DSolve[(1-3 x+y[x])y'[x]==2(x-y[x]),y[x],x,IncludeSingularSolutions -> True]
Too large to display