Internal problem ID [12368]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.3.3, page 71
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {y}{x}=0} \] With initial conditions \begin {align*} [y \left (-1\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 7
dsolve([diff(y(x),x)=y(x)/x,y(-1) = 2],y(x), singsol=all)
\[ y \left (x \right ) = -2 x \]
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 8
DSolve[{y'[x]==y[x]/x,{y[-1]==2}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -2 x \]