29.35.24 problem 1057

Internal problem ID [5622]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 35
Problem number : 1057
Date solved : Monday, January 27, 2025 at 12:29:38 PM
CAS classification : [[_homogeneous, `class C`], _dAlembert]

\begin{align*} 8 {y^{\prime }}^{3}+12 {y^{\prime }}^{2}&=27 x +27 y \end{align*}

✓ Solution by Maple

Time used: 0.101 (sec). Leaf size: 43

dsolve(8*diff(y(x),x)^3+12*diff(y(x),x)^2 = 27*x+27*y(x),y(x), singsol=all)
 

\begin{align*} y \left (x \right ) &= -x +\frac {4}{27} \\ y \left (x \right ) &= \left (-x +c_{1} \right ) \sqrt {-c_{1} +x}-c_{1} \\ y \left (x \right ) &= \left (-c_{1} +x \right )^{{3}/{2}}-c_{1} \\ \end{align*}

✗ Solution by Mathematica

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

DSolve[8 (D[y[x],x])^3 + 12 (D[y[x],x])^2 ==27(x+y[x]),y[x],x,IncludeSingularSolutions -> True]
 

Timed out