60.1.79 problem 79

Internal problem ID [10093]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 79
Date solved : Monday, January 27, 2025 at 06:26:58 PM
CAS classification : [`y=_G(x,y')`]

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

✗ 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: 0.000 (sec). Leaf size: 0

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

Not solved