Internal problem ID [2859]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 4
Problem number: 110.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {y^{\prime }+f \relax (x )+g \relax (x ) \sin \left (a y\right )+h \relax (x ) \cos \left (a y\right )=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x)+f(x)+g(x)*sin(a*y(x))+h(x)*cos(a*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]Sin[a y[x]]+h[x] Cos[a y[x]]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved