40.3.1 problem 23 (a)

Internal problem ID [6605]
Book : Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres. McGraw Hill 1952
Section : Chapter 5. Equations of first order and first degree (Exact equations). Supplemetary problems. Page 33
Problem number : 23 (a)
Date solved : Monday, January 27, 2025 at 02:15:48 PM
CAS classification : [_linear]

\begin{align*} x^{2}-y-x y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 16

dsolve((x^2-y(x))-x*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = \frac {x^{3}+3 c_1}{3 x} \]

✓ Solution by Mathematica

Time used: 0.030 (sec). Leaf size: 19

DSolve[(x^2-y[x])-x*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^2}{3}+\frac {c_1}{x} \]