Internal problem ID [14095]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number: 58.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\frac {\ln \left (x \right )}{x}} \] With initial conditions \begin {align*} [y \left (1\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve([diff(y(x),x)=ln(x)/x,y(1) = 0],y(x), singsol=all)
\[ y \left (x \right ) = \frac {\ln \left (x \right )^{2}}{2} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 13
DSolve[{y'[x]==Log[x]/x,{y[1]==0}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {\log ^2(x)}{2} \]