76.4.24 problem 30

Internal problem ID [17418]
Book : Differential equations. An introduction to modern methods and applications. James Brannan, William E. Boyce. Third edition. Wiley 2015
Section : Chapter 2. First order differential equations. Section 2.6 (Exact equations and integrating factors). Problems at page 100
Problem number : 30
Date solved : Tuesday, January 28, 2025 at 10:06:33 AM
CAS classification : [_rational]

\begin{align*} \frac {4 x^{3}}{y^{2}}+\frac {12}{y}+3 \left (\frac {x}{y^{2}}+4 y\right ) y^{\prime }&=0 \end{align*}

✗ Solution by Maple

dsolve(4*(x^3/y(x)^2+3/y(x))+ 3*(x/y(x)^2+4*y(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^3/y[x]^2+3/y[x]) + 3*(x/y[x]^2+4*y[x])*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved