5.11 problem 127

Internal problem ID [3384]

Book: Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section: Various 5
Problem number: 127.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [`y=_G(x,y')`]

\[ \boxed {y^{\prime }+g \left (x \right ) \tan \left (y\right )=-f \left (x \right )} \]

Solution by Maple

dsolve(diff(y(x),x)+f(x)+g(x)*tan(y(x)) = 0,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[y'[x]+f[x]+g[x] Tan[ y[x]]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved