29.17.15 problem 474

Internal problem ID [5072]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 17
Problem number : 474
Date solved : Monday, January 27, 2025 at 10:07:46 AM
CAS classification : [[_Abel, `2nd type`, `class A`]]

\begin{align*} \left (\tan \left (x \right ) \sec \left (x \right )-2 y\right ) y^{\prime }+\sec \left (x \right ) \left (1+2 y \sin \left (x \right )\right )&=0 \end{align*}

✗ Solution by Maple

dsolve((tan(x)*sec(x)-2*y(x))*diff(y(x),x)+sec(x)*(1+2*y(x)*sin(x)) = 0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[(Tan[x] Sec[x]-2 y[x])D[y[x],x]+Sec[x](1+2 y[x] Sin[x])==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved