83.45.19 problem Ex 19 page 60

Internal problem ID [19562]
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 IV. Equations of the first order but not of the first degree
Problem number : Ex 19 page 60
Date solved : Tuesday, January 28, 2025 at 01:55:11 PM
CAS classification : [_rational]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved