29.4.21 problem 110

Internal problem ID [4712]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 4
Problem number : 110
Date solved : Monday, January 27, 2025 at 09:33:33 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }+f \left (x \right )+g \left (x \right ) \sin \left (a y\right )+h \left (x \right ) \cos \left (a y\right )&=0 \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],x]+f[x]+g[x]Sin[a y[x]]+h[x] Cos[a y[x]]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved