Internal problem ID [3370]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 22
Problem number: 630.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class C], _rational]
Solve \begin {gather*} \boxed {\left (1-3 x +2 y\right )^{2} y^{\prime }-\left (4+2 x -3 y\right )^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.738 (sec). Leaf size: 309
dsolve((1-3*x+2*y(x))^2*diff(y(x),x) = (4+2*x-3*y(x))^2,y(x), singsol=all)
\[ y \relax (x ) = \frac {14}{5}+\frac {\left (5 x -11\right ) \left (\RootOf \left (59049 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{90}+\left (-295245 \left (5 x -11\right )^{9} c_{1}+1\right ) \textit {\_Z}^{81}+459270 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{72}-65610 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{63}-375435 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{54}+115911 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{45}+166860 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{36}-12960 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{27}-40320 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{18}-11520 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{9}-1024 \left (5 x -11\right )^{9} c_{1}\right )^{9}-1\right )}{5 \RootOf \left (59049 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{90}+\left (-295245 \left (5 x -11\right )^{9} c_{1}+1\right ) \textit {\_Z}^{81}+459270 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{72}-65610 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{63}-375435 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{54}+115911 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{45}+166860 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{36}-12960 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{27}-40320 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{18}-11520 \left (5 x -11\right )^{9} c_{1} \textit {\_Z}^{9}-1024 \left (5 x -11\right )^{9} c_{1}\right )^{9}} \]
✓ Solution by Mathematica
Time used: 93.181 (sec). Leaf size: 3501
DSolve[(1-3 x+2 y[x])^2 y'[x]==(4+2 x-3 y[x])^2,y[x],x,IncludeSingularSolutions -> True]
Too large to display