83.27.19 problem 19

Internal problem ID [19365]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Chapter VII. Exact differential equations and certain particular forms of equations. Exercise VII (A) at page 104
Problem number : 19
Date solved : Tuesday, January 28, 2025 at 01:35:31 PM
CAS classification : [[_3rd_order, _exact, _nonlinear], [_3rd_order, _with_linear_symmetries]]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved