24.1.1 problem 1(a)

Internal problem ID [4190]
Book : Elementary Differential equations, Chaundy, 1969
Section : Exercises 3, page 60
Problem number : 1(a)
Date solved : Monday, January 27, 2025 at 08:41:35 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 23

dsolve(diff(y(x),x)*y(x)=x,y(x), singsol=all)
 

\begin{align*} y \left (x \right ) &= \sqrt {x^{2}+c_{1}} \\ y \left (x \right ) &= -\sqrt {x^{2}+c_{1}} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.078 (sec). Leaf size: 35

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

\begin{align*} y(x)\to -\sqrt {x^2+2 c_1} \\ y(x)\to \sqrt {x^2+2 c_1} \\ \end{align*}