Internal problem ID [8040]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 460.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {\left (\left (y^{\prime }\right )^{2}+y^{2}\right ) \left (\cos ^{4}\relax (x )\right )-a^{2}=0} \end {gather*}
✗ Solution by Maple
dsolve((diff(y(x),x)^2+y(x)^2)*cos(x)^4-a^2 = 0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[-a^2 + Cos[x]^4*(y[x]^2 + y'[x]^2)==0,y[x],x,IncludeSingularSolutions -> True]
Not solved