Internal problem ID [3807]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 37
Problem number: 1104.
ODE order: 1.
ODE degree: 6.
CAS Maple gives this as type [_rational]
Solve \begin {gather*} \boxed {x^{2} \left (\left (y^{\prime }\right )^{6}+3 y^{4}+3 y^{2}+1\right )-a^{2}=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[x^2 ( (y'[x])^6 +3 (y[x])^4 +3 (y[x])^2 + 1)==a^2,y[x],x,IncludeSingularSolutions -> True]
Not solved