74.1.57 problem 79

Internal problem ID [15837]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number : 79
Date solved : Tuesday, January 28, 2025 at 08:08:41 AM
CAS classification : [_rational]

\begin{align*} 4 x \left (x^{2}+y^{2}\right )-5 y+4 y \left (x^{2}+y^{2}-5 x \right ) y^{\prime }&=0 \end{align*}

✗ Solution by Maple

dsolve((4*x*(x^2+y(x)^2)-5*y(x))+(4*y(x)*(x^2+y(x)^2-5*x))*diff(y(x),x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[(4*x*(x^2+y[x]^2)-5*y[x])+(4*y[x]*(x^2+y[x]^2-5*x))*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved