2.968   ODE No. 968

y(x)=csc(y(x)2x)sec(y(x)2x)sec(y(x)x)(x4sin(y(x)2x)sin(y(x)x)cos(y(x)2x)12xy(x)sin(y(x)x)12y(x)sin(y(x)x)+12xy(x)sin(y(x)2x)cos(y(x)2x)+12xy(x)sin(3y(x)2x)cos(y(x)2x)+12y(x)sin(y(x)2x)cos(y(x)2x)+12y(x)sin(3y(x)2x)cos(y(x)2x))x(x+1)

Mathematica : cpu = 0.262778 (sec), leaf count = 30

DSolve[Derivative[1][y][x] == (Csc[y[x]/(2*x)]*Sec[y[x]/(2*x)]*Sec[y[x]/x]*(x^4*Cos[y[x]/(2*x)]*Sin[y[x]/(2*x)]*Sin[y[x]/x] + (Cos[y[x]/(2*x)]*Sin[y[x]/(2*x)]*y[x])/2 + (x*Cos[y[x]/(2*x)]*Sin[y[x]/(2*x)]*y[x])/2 - (Sin[y[x]/x]*y[x])/2 - (x*Sin[y[x]/x]*y[x])/2 + (Cos[y[x]/(2*x)]*Sin[(3*y[x])/(2*x)]*y[x])/2 + (x*Cos[y[x]/(2*x)]*Sin[(3*y[x])/(2*x)]*y[x])/2))/(x*(1 + x)),y[x],x]
 
{{y(x)xsin1((x+1)ex22x32+c1)}}

Maple : cpu = 0.287 (sec), leaf count = 29

dsolve(diff(y(x),x) = 1/2*(-sin(y(x)/x)*y(x)*x-y(x)*sin(y(x)/x)+y(x)*sin(3/2*y(x)/x)*cos(1/2*y(x)/x)*x+y(x)*sin(3/2*y(x)/x)*cos(1/2*y(x)/x)+y(x)*cos(1/2*y(x)/x)*sin(1/2*y(x)/x)*x+y(x)*cos(1/2*y(x)/x)*sin(1/2*y(x)/x)+2*sin(y(x)/x)*x^4*cos(1/2*y(x)/x)*sin(1/2*y(x)/x))/cos(y(x)/x)/cos(1/2*y(x)/x)/sin(1/2*y(x)/x)/x/(1+x),y(x))
 
y(x)=arccos((c1(1+x)2ex2+e2x)e2x)x2