73.3.17 problem 4.5 (a)

Internal problem ID [15051]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 4. SEPARABLE FIRST ORDER EQUATIONS. Additional exercises. page 90
Problem number : 4.5 (a)
Date solved : Tuesday, January 28, 2025 at 07:28:44 AM
CAS classification : [_separable]

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

With initial conditions

\begin{align*} y \left (1\right )&=3 \end{align*}

✓ Solution by Maple

Time used: 0.033 (sec). Leaf size: 11

dsolve([diff(y(x),x)=x/y(x),y(1) = 3],y(x), singsol=all)
 

\[ y = \sqrt {x^{2}+8} \]

✓ Solution by Mathematica

Time used: 0.080 (sec). Leaf size: 14

DSolve[{D[y[x],x]==x/y[x],{y[1]==3}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \sqrt {x^2+8} \]