23.1.24 problem 2(n)

Internal problem ID [4114]
Book : Theory and solutions of Ordinary Differential equations, Donald Greenspan, 1960
Section : Chapter 2. First order equations. Exercises at page 14
Problem number : 2(n)
Date solved : Monday, January 27, 2025 at 08:09:47 AM
CAS classification : [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]

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

With initial conditions

\begin{align*} y \left (0\right )&=0 \end{align*}

✓ Solution by Maple

Time used: 2.186 (sec). Leaf size: 1636

dsolve([(3*y(x)-7*x+7)+(7*y(x)-3*x+3)*diff(y(x),x)=0,y(0) = 0],y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 86.557 (sec). Leaf size: 1602

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

Too large to display