8.3 problem 3 (a)

Internal problem ID [12701]

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: 3 (a).
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 ) = 1] \end {align*}

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 7

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

\[ y \left (x \right ) = -x \]

✓ Solution by Mathematica

Time used: 0.036 (sec). Leaf size: 8

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

\[ y(x)\to -x \]