83.43.17 problem Ex 18 page 23

Internal problem ID [19525]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Book Solved Excercises. Chapter II. Equations of first order and first degree
Problem number : Ex 18 page 23
Date solved : Tuesday, January 28, 2025 at 01:48:35 PM
CAS classification : [`y=_G(x,y')`]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved