56.4.32 problem 28

Internal problem ID [8921]
Book : Own collection of miscellaneous problems
Section : section 4.0
Problem number : 28
Date solved : Monday, January 27, 2025 at 05:19:25 PM
CAS classification : [`y=_G(x,y')`]

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

✗ 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: 0.000 (sec). Leaf size: 0

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

Not solved