29.37.1 problem 1104

Internal problem ID [5659]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 37
Problem number : 1104
Date solved : Monday, January 27, 2025 at 01:01:52 PM
CAS classification : [_rational]

\begin{align*} x^{2} \left ({y^{\prime }}^{6}+3 y^{4}+3 y^{2}+1\right )&=a^{2} \end{align*}

✗ Solution by Maple

dsolve(x^2*(diff(y(x),x)^6+3*y(x)^4+3*y(x)^2+1) = a^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])^6 +3 (y[x])^4 +3 (y[x])^2 + 1)==a^2,y[x],x,IncludeSingularSolutions -> True]
 

Not solved