Internal problem ID [3472]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 26
Problem number: 736.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type unknown
Solve \begin {gather*} \boxed {y^{\prime } \cos \relax (y) \left (\cos \relax (y)-\sin \relax (A ) \sin \relax (x )\right )+\cos \relax (x ) \left (\cos \relax (x )-\sin \relax (A ) \sin \relax (y)\right )=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x)*cos(y(x))*(cos(y(x))-sin(A)*sin(x))+cos(x)*(cos(x)-sin(A)*sin(y(x))) = 0,y(x), singsol=all)
\[ \text {No solution found} \]
✓ Solution by Mathematica
Time used: 0.38 (sec). Leaf size: 43
DSolve[y'[x] Cos[y[x]](Cos[y[x]]- Sin[A] Sin[x])+Cos[x](Cos[x]-Sin[A]Sin[y[x]])==0,y[x],x,IncludeSingularSolutions -> True]
\[ \text {Solve}\left [4 \sin (A) \sin (x) \sin (y(x))-4 \left (\frac {y(x)}{2}+\frac {1}{4} \sin (2 y(x))\right )-2 x-\sin (2 x)=c_1,y(x)\right ] \]