29.35.22 problem 1055

Internal problem ID [5620]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 35
Problem number : 1055
Date solved : Monday, January 27, 2025 at 12:28:13 PM
CAS classification : [[_1st_order, _with_linear_symmetries]]

\begin{align*} 3 {y^{\prime }}^{3}-x^{4} y^{\prime }+2 x^{3} y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.166 (sec). Leaf size: 34

dsolve(3*diff(y(x),x)^3-x^4*diff(y(x),x)+2*x^3*y(x) = 0,y(x), singsol=all)
 

\begin{align*} y \left (x \right ) &= -\frac {x^{3}}{9} \\ y \left (x \right ) &= \frac {x^{3}}{9} \\ y \left (x \right ) &= \frac {c_{1}^{2} x^{2}-3}{2 c_{1}^{3}} \\ \end{align*}

✓ Solution by Mathematica

Time used: 64.078 (sec). Leaf size: 15992

DSolve[3 (D[y[x],x])^3 - x^4 D[y[x],x]+2 x^3 y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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