1.37 problem 37

Internal problem ID [6600]

Book: First order enumerated odes
Section: section 1
Problem number: 37.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

Solve \begin {gather*} \boxed {x y^{\prime }-1=0} \end {gather*}

Solution by Maple

Time used: 0.001 (sec). Leaf size: 8

dsolve(x*diff(y(x),x)=1,y(x), singsol=all)
 

\[ y \relax (x ) = \ln \relax (x )+c_{1} \]

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 10

DSolve[x*y'[x]==1,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \log (x)+c_1 \\ \end{align*}