5.10 problem 10

Internal problem ID [7303]

Book: Own collection of miscellaneous problems
Section: section 5.0
Problem number: 10.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }=\frac {1}{x}} \] With the expansion point for the power series method at \(x = 0\).

Solution by Maple

Order:=6; 
dsolve(diff(y(x),x)=1/x,y(x),type='series',x=0);
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.007 (sec). Leaf size: 8

AsymptoticDSolveValue[y'[x]==1/x,y[x],{x,0,5}]
 

\[ y(x)\to \log (x)+c_1 \]