Internal problem ID [12397]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.4.4, page 115
Problem number: 8 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {\sqrt {y}}{x}=0} \] With initial conditions \begin {align*} [y \left (-1\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 5
dsolve([diff(y(x),x)=sqrt(y(x))/x,y(-1) = 0],y(x), singsol=all)
\[ y \left (x \right ) = 0 \]
✓ Solution by Mathematica
Time used: 0.157 (sec). Leaf size: 24
DSolve[{y'[x]==Sqrt[y[x]]/x,{y[-1]==0}},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 0 y(x)\to -\frac {1}{4} (\pi +i \log (x))^2 \end{align*}