77.1.12 problem 26 (page 31)

Internal problem ID [17902]
Book : V.V. Stepanov, A course of differential equations (in Russian), GIFML. Moscow (1958)
Section : All content
Problem number : 26 (page 31)
Date solved : Tuesday, January 28, 2025 at 11:11:49 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 } \end{align*}

✓ Solution by Maple

Time used: 2.816 (sec). Leaf size: 1814

dsolve(3*y(x)-7*x+7=(3*x-7*y(x)-3)*diff(y(x),x),y(x), singsol=all)
 

\[ \text {Expression too large to display} \]

✓ Solution by Mathematica

Time used: 60.665 (sec). Leaf size: 7785

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

Too large to display