Internal problem ID [6500]
Book: Own collection of miscellaneous problems
Section: section 4.0
Problem number: 28.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {\left (y^{\prime }\right )^{2}+y^{2}-\left (\sec ^{4}\relax (x )\right )=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x)^2+y(x)^2=sec(x)^4,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'[x]^2+y[x]^2==Sec[x]^4,y[x],x,IncludeSingularSolutions -> True]
Not solved