77.1.114 problem 141 (b) (page 205)

Internal problem ID [18004]
Book : V.V. Stepanov, A course of differential equations (in Russian), GIFML. Moscow (1958)
Section : All content
Problem number : 141 (b) (page 205)
Date solved : Tuesday, January 28, 2025 at 11:19:45 AM
CAS classification : [[_3rd_order, _missing_x]]

\begin{align*} y^{\prime \prime \prime }+y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 14

dsolve(diff(y(x),x$3)+diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = c_{1} +\sin \left (x \right ) c_{2} +c_{3} \cos \left (x \right ) \]

✓ Solution by Mathematica

Time used: 0.044 (sec). Leaf size: 19

DSolve[D[y[x],{x,3}]+D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -c_2 \cos (x)+c_1 \sin (x)+c_3 \]