Internal problem ID [5236]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 4. Equations of first order and first degree (Variable separable). Supplemetary
problems. Page 22
Problem number: 24.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime } x +4 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(4*y(x)+x*diff(y(x),x)=0,y(x), singsol=all)
\[ y = \frac {c_{1}}{x^{4}} \]
✓ Solution by Mathematica
Time used: 0.023 (sec). Leaf size: 16
DSolve[4*y[x]+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {c_1}{x^4} y(x)\to 0 \end{align*}