67.2.22 problem Problem 2(h)

Internal problem ID [13979]
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(h)
Date solved : Tuesday, January 28, 2025 at 06:10:56 AM
CAS classification : [NONE]

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

✗ Solution by Maple

dsolve(diff(y(x),x$3)^2+sqrt(y(x))=sin(x),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[D[y[x],{x,3}]^2+Sqrt[y[x]]==Sin[x],y[x],x,IncludeSingularSolutions -> True]
 

Not solved