83.34.7 problem 7

Internal problem ID [19420]
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 (H) at page 118
Problem number : 7
Date solved : Tuesday, January 28, 2025 at 01:38:53 PM
CAS classification : [NONE]

\begin{align*} x^{2} y^{\prime \prime }+4 y^{2}-6 y&=x^{4} {y^{\prime }}^{2} \end{align*}

✗ Solution by Maple

dsolve(x^2*diff(y(x),x$2)+4*y(x)^2-6*y(x)=x^4*diff(y(x),x)^2,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[x^2*D[y[x],{x,2}]+4*y[x]^2-6*y[x]==x^4*D[y[x],x]^2,y[x],x,IncludeSingularSolutions -> True]
 

Not solved