2.20 problem Problem 2(e)

Internal problem ID [12241]

Book: APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin. CRC Press 2015
Section: Chapter 4, Second and Higher Order Linear Differential Equations. Problems page 221
Problem number: Problem 2(e).
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [NONE]

\[ \boxed {\sinh \left (x \right ) {y^{\prime }}^{2}+y^{\prime \prime }-y x=0} \]

Solution by Maple

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

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[Sinh[x]*y'[x]^2+y''[x]==x*y[x],y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

Not solved