Internal problem ID [5333]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 5. Existence and uniqueness of solutions to first order equations. Page
198
Problem number: 1(h).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {3 x^{2} \ln \relax (x )+x^{2}+y+x y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 17
dsolve((3*x^2*ln(x)+x^2+y(x))+x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {-x^{3} \ln \relax (x )+c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 19
DSolve[(3*x^2*Log[x]+x^2+y[x])+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {-x^3 \log (x)+c_1}{x} \\ \end{align*}