Internal problem ID [4749]
Book: Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley.
2006
Section: Chapter 8, Ordinary differential equations. Section 2. Separable equations. page
398
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {-y+x y^{\prime }=0} \] With initial conditions \begin {align*} [y \left (2\right ) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 7
dsolve([x*diff(y(x),x)=y(x),y(2) = 3],y(x), singsol=all)
\[ y \left (x \right ) = \frac {3 x}{2} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 10
DSolve[{x*y'[x]==y[x],{y[2]==3}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {3 x}{2} \]