83.5.17 problem 17

Internal problem ID [19112]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Chapter II. Equations of first order and first degree. Exercise II (D) at page 16
Problem number : 17
Date solved : Tuesday, January 28, 2025 at 12:57:59 PM
CAS classification : [`x=_G(y,y')`]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[D[y[x],x]+y[x]/x*Log[y[x]]==y[x]/x^2-(Log[y[x]])^2,y[x],x,IncludeSingularSolutions -> True]
 

Not solved