Internal problem ID [1890]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 5, page 21
Problem number: 21.
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 ) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 7
dsolve([diff(y(x),x)=y(x)/x,y(1) = 3],y(x), singsol=all)
\[ y \left (x \right ) = 3 x \]
✓ Solution by Mathematica
Time used: 0.024 (sec). Leaf size: 8
DSolve[{y'[x]==y[x]/x,y[1]==3},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 3 x \]