Internal problem ID [13315]
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).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {x}{y}=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 11
dsolve([diff(y(x),x)=x/y(x),y(1) = 3],y(x), singsol=all)
\[ y \left (x \right ) = \sqrt {x^{2}+8} \]
✓ Solution by Mathematica
Time used: 0.11 (sec). Leaf size: 14
DSolve[{y'[x]==x/y[x],{y[1]==3}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \sqrt {x^2+8} \]