Internal problem ID [6086]
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]
\[ \boxed {x y^{\prime }+y=-3 \ln \left (x \right ) x^{2}-x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve((3*x^2*ln(x)+x^2+y(x))+x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {-x^{3} \ln \left (x \right )+c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 19
DSolve[(3*x^2*Log[x]+x^2+y[x])+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {-x^3 \log (x)+c_1}{x} \]