Internal problem ID [8416]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 79.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {y^{\prime }+f \left (x \right ) \cos \left (a y\right )+g \left (x \right ) \sin \left (a y\right )=-h \left (x \right )} \]
✗ Solution by Maple
dsolve(diff(y(x),x) + f(x)*cos(a*y(x)) + g(x)*sin(a*y(x)) + h(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]*Cos[a*y[x]] + g[x]*Sin[a*y[x]] + h[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved