74.1.6 problem 9

Internal problem ID [15786]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number : 9
Date solved : Tuesday, January 28, 2025 at 08:07:12 AM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

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

✗ Solution by Maple

dsolve(x*diff(y(x),x$2)^2+2*y(x)=2*x,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

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

Not solved