Internal problem ID [15170]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 12. Miscellaneous problems. Exercises page 93
Problem number: 308.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {\left (5 x -7 y+1\right ) y^{\prime }+y=1-x} \]
✓ Solution by Maple
Time used: 1.734 (sec). Leaf size: 92
dsolve((5*x-7*y(x)+1)*diff(y(x),x)+(x+y(x)-1)=0,y(x), singsol=all)
\[ y = \frac {-\operatorname {RootOf}\left (7 \textit {\_Z}^{16}+\left (-128 c_{1} x^{4}+256 c_{1} x^{3}-192 c_{1} x^{2}+64 c_{1} x -8 c_{1} \right ) \textit {\_Z}^{4}-16 c_{1} x^{4}+32 c_{1} x^{3}-24 c_{1} x^{2}+8 c_{1} x -c_{1} \right )^{12}+16 c_{1} \left (x -\frac {1}{2}\right )^{3} x}{2 c_{1} \left (2 x -1\right )^{3}} \]
✓ Solution by Mathematica
Time used: 60.319 (sec). Leaf size: 8165
DSolve[(5*x-7*y[x]+1)*y'[x]+(x+y[x]-1)==0,y[x],x,IncludeSingularSolutions -> True]
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