Internal problem ID [4367]
Book: Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley.
2006
Section: Chapter 8, Ordinary differential equations. Section 13. Miscellaneous problems. page
466
Problem number: 12.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
Solve \begin {gather*} \boxed {x y^{\prime \prime }+y^{\prime }-4 x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 13
dsolve(x*diff(y(x),x$2)+diff(y(x),x)=4*x,y(x), singsol=all)
\[ y \relax (x ) = x^{2}+c_{1} \ln \relax (x )+c_{2} \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 16
DSolve[x*y''[x]+y'[x]==4*x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^2+c_1 \log (x)+c_2 \\ \end{align*}