Internal problem ID [12929]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 2. Integration and differential equations. Additional exercises. page
32
Problem number: 2.2 (g).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
\[ \boxed {x^{2} y^{\prime \prime }=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(x^2*diff(y(x),x$2)=1,y(x), singsol=all)
\[ y = -\ln \left (x \right )+c_{1} x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 16
DSolve[x^2*y''[x]==1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\log (x)+c_2 x+c_1 \]