71.7.10 problem 14

Internal problem ID [14431]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 2. The Initial Value Problem. Exercises 2.3.3, page 71
Problem number : 14
Date solved : Tuesday, January 28, 2025 at 06:30:52 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 11

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

\[ y = \left (-x +c_{1} \right ) x \]

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 13

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

\[ y(x)\to x (-x+c_1) \]