Internal problem ID [12342]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.3.1, page 57
Problem number: 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=x +\frac {1}{x}} \] With initial conditions \begin {align*} [y \left (1\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve([diff(y(x),x)=x+1/x,y(1) = 2],y(x), singsol=all)
\[ y \left (x \right ) = \frac {x^{2}}{2}+\ln \left (x \right )+\frac {3}{2} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 18
DSolve[{y'[x]==x+1/x,{y[1]==2}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{2} \left (x^2+2 \log (x)+3\right ) \]