67.2.17 problem Problem 2(b)

Internal problem ID [13974]
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(b)
Date solved : Tuesday, January 28, 2025 at 06:10:48 AM
CAS classification : [NONE]

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

✗ Solution by Maple

dsolve(diff(y(x),x$3)+x*diff(y(x),x$2)-y(x)^2=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}]+x*D[y[x],{x,2}]-y[x]^2==Sin[x],y[x],x,IncludeSingularSolutions -> True]
 

Not solved