Internal problem ID [8706]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 370.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {{y^{\prime }}^{2}+y^{2}=f \left (x \right )^{2}} \]
✗ Solution by Maple
dsolve(diff(y(x),x)^2+y(x)^2-f(x)^2 = 0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[-f[x]^2 + y[x]^2 + y'[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
Not solved