29.26.5 problem 739

Internal problem ID [5326]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 26
Problem number : 739
Date solved : Monday, January 27, 2025 at 11:14:00 AM
CAS classification : [NONE]

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

✓ Solution by Maple

Time used: 0.036 (sec). Leaf size: 15

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

\[ \cos \left (x \right ) y \left (x \right )+x \sin \left (y \left (x \right )\right )+c_{1} = 0 \]

✓ Solution by Mathematica

Time used: 0.143 (sec). Leaf size: 17

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

\[ \text {Solve}[x \sin (y(x))+y(x) \cos (x)=c_1,y(x)] \]