75.5.10 problem 109

Internal problem ID [16746]
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
Date solved : Tuesday, January 28, 2025 at 09:20:50 AM
CAS classification : [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]

\begin{align*} 3 y-7 x +7-\left (3 x -7 y-3\right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 2.605 (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: 60.671 (sec). Leaf size: 7785

DSolve[(3*y[x]-7*x+7)-(3*x-7*y[x]-3)*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Too large to display