29.31.28 problem 928

Internal problem ID [5507]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 31
Problem number : 928
Date solved : Monday, January 27, 2025 at 11:34:21 AM
CAS classification : [[_homogeneous, `class G`], _rational]

\begin{align*} x^{3} {y^{\prime }}^{2}+x y^{\prime }-y&=0 \end{align*}

✗ Solution by Maple

dsolve(x^3*diff(y(x),x)^2+x*diff(y(x),x)-y(x) = 0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✓ Solution by Mathematica

Time used: 107.491 (sec). Leaf size: 7052

DSolve[x^3 (D[y[x],x])^2+x D[y[x],x]-y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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