69.1.31 problem 48

Internal problem ID [14184]
Book : DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR PUBLISHERS, Moscow 1969.
Section : Chapter 8. Differential equations. Exercises page 595
Problem number : 48
Date solved : Tuesday, January 28, 2025 at 06:19:39 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: 2.044 (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: 60.691 (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