2.361   ODE No. 361

y(x)(sin(y(x))+xsin(xy(x))+cos(y(x)+x))+y(x)sin(xy(x))+cos(y(x)+x)+cos(x)=0

Mathematica : cpu = 0.879978 (sec), leaf count = 31

DSolve[Cos[x] + Cos[x + y[x]] + Sin[x*y[x]]*y[x] + (Cos[x + y[x]] - Sin[y[x]] + x*Sin[x*y[x]])*Derivative[1][y][x] == 0,y[x],x]
 
Solve[cos(y(x))cos(xy(x))+sin(x)cos(y(x))+cos(x)sin(y(x))+sin(x)=c1,y(x)]

Maple : cpu = 0.195 (sec), leaf count = 22

dsolve((x*sin(x*y(x))+cos(y(x)+x)-sin(y(x)))*diff(y(x),x)+y(x)*sin(x*y(x))+cos(y(x)+x)+cos(x) = 0,y(x))
 
cos(xy(x))+sin(x)+sin(y(x)+x)+cos(y(x))+c1=0