73.1.7 problem 2.2 (g)

Internal problem ID [14985]
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)
Date solved : Tuesday, January 28, 2025 at 07:26:39 AM
CAS classification : [[_2nd_order, _quadrature]]

\begin{align*} x^{2} y^{\prime \prime }&=1 \end{align*}

✓ Solution by Maple

Time used: 0.001 (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: 0.003 (sec). Leaf size: 16

DSolve[x^2*D[y[x],{x,2}]==1,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -\log (x)+c_2 x+c_1 \]