Internal problem ID [8795]
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')`]
\[ \boxed {\left ({y^{\prime }}^{2}+y^{2}\right ) \cos \left (x \right )^{4}=a^{2}} \]
✗ 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