40.2.1 problem 24

Internal problem ID [6579]
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
Date solved : Monday, January 27, 2025 at 02:14:02 PM
CAS classification : [_separable]

\begin{align*} 4 y+x y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (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: 0.025 (sec). Leaf size: 16

DSolve[4*y[x]+x*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {c_1}{x^4} \\ y(x)\to 0 \\ \end{align*}