Internal problem ID [3197]
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]]
Solve \begin {gather*} \boxed {\left (1-3 x +y\right ) y^{\prime }-2 x +2 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.203 (sec). Leaf size: 38
dsolve((1-3*x+y(x))*diff(y(x),x) = 2*x-2*y(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {1}{2}-\frac {\left (2 x -1\right ) \left (c_{1}+c_{1} \RootOf \left (\left (2 x -1\right )^{3} c_{1} \textit {\_Z}^{4}-\textit {\_Z} -3\right )\right )}{2 c_{1}} \]
✓ Solution by Mathematica
Time used: 60.162 (sec). Leaf size: 4937
DSolve[(1-3 x+y[x])y'[x]==2(x-y[x]),y[x],x,IncludeSingularSolutions -> True]
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