Internal problem ID [14050]
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.
ODE order: 2.
ODE degree: 2.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {x {y^{\prime \prime }}^{2}+2 y=2 x} \]
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[x*y''[x]^2+2*y[x]==2*x,y[x],x,IncludeSingularSolutions -> True]
Not solved