83.48.21 problem Ex 22 page 117

Internal problem ID [19613]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Book Solved Excercises. Chapter VII. Exact differential equations.
Problem number : Ex 22 page 117
Date solved : Tuesday, January 28, 2025 at 02:04:31 PM
CAS classification : [NONE]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[x*D[y[x],{x,2}]+2*D[y[x],x]==x^2*D[y[x],x]-y[x]^2,y[x],x,IncludeSingularSolutions -> True]
 

Not solved