60.1.457 problem 460

Internal problem ID [10471]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 460
Date solved : Monday, January 27, 2025 at 07:49:48 PM
CAS classification : [`y=_G(x,y')`]

\begin{align*} \left ({y^{\prime }}^{2}+y^{2}\right ) \cos \left (x \right )^{4}-a^{2}&=0 \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[-a^2 + Cos[x]^4*(y[x]^2 + D[y[x],x]^2)==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved