Internal problem ID [15016]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 5. Homogeneous equations. Exercises page 44
Problem number: 109.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {3 y-\left (3 x -7 y-3\right ) y^{\prime }=7 x -7} \]
✓ Solution by Maple
Time used: 0.203 (sec). Leaf size: 1814
dsolve((3*y(x)-7*x+7)-(3*x-7*y(x)-3)*diff(y(x),x)=0,y(x), singsol=all)
\[ \text {Expression too large to display} \]
✓ Solution by Mathematica
Time used: 60.866 (sec). Leaf size: 7785
DSolve[(3*y[x]-7*x+7)-(3*x-7*y[x]-3)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
Too large to display