Internal problem ID [6550]
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]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {1}{x}=0} \end {gather*} 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: 0.012 (sec). Leaf size: 8
AsymptoticDSolveValue[y'[x]==1/x,y[x],{x,0,5}]
\[ y(x)\to \log (x)+c_1 \]