Internal problem ID [12628]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.1, page 40
Problem number: 9.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {y}{x}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 7
dsolve(diff(y(x),x)=y(x)/x,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} x \]
✓ Solution by Mathematica
Time used: 0.036 (sec). Leaf size: 14
DSolve[y'[x]==y[x]/x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 x \\ y(x)\to 0 \\ \end{align*}