67.2.20 problem Problem 2(e)

Internal problem ID [13977]
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)
Date solved : Tuesday, January 28, 2025 at 06:10:54 AM
CAS classification : [NONE]

\begin{align*} \sinh \left (x \right ) {y^{\prime }}^{2}+y^{\prime \prime }&=y x \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

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

Not solved