83.18.15 problem 15

Internal problem ID [19225]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Chapter IV. Equations of the first order but not of the first degree. Exercise IV (A) at page 53
Problem number : 15
Date solved : Tuesday, January 28, 2025 at 01:14:17 PM
CAS classification : [_quadrature]

\begin{align*} x^{2} {y^{\prime }}^{3}+y \left (1+x^{2} y\right ) {y^{\prime }}^{2}+y^{2} y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.101 (sec). Leaf size: 5

dsolve(x^2*diff(y(x),x)^3+y(x)*(1+x^2*y(x))*diff(y(x),x)^2+y(x)^2*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = c_{1} \]

✗ Solution by Mathematica

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

DSolve[x^2*D[y[x],x]^3+y[x]*(1+x^2*y[x])*D[y[x],x]^2+y[x]^2*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved