29.34.23 problem 1025

Internal problem ID [5594]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 34
Problem number : 1025
Date solved : Monday, January 27, 2025 at 12:13:04 PM
CAS classification : [_quadrature]

\begin{align*} {y^{\prime }}^{3}-7 y^{\prime }+6&=0 \end{align*}

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 23

dsolve(diff(y(x),x)^3-7*diff(y(x),x)+6 = 0,y(x), singsol=all)
 

\begin{align*} y \left (x \right ) &= 2 x +c_{1} \\ y \left (x \right ) &= x +c_{1} \\ y \left (x \right ) &= -3 x +c_{1} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 29

DSolve[(D[y[x],x])^3-7 D[y[x],x]+6==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to -3 x+c_1 \\ y(x)\to x+c_1 \\ y(x)\to 2 x+c_1 \\ \end{align*}