ODE No. 539

sin(x)y(x)3y(x)2(y(x)sin(x)cos2(x))y(x)(y(x)cos2(x)+sin(x))+y(x)sin(x)=0 Mathematica : cpu = 0.0329279 (sec), leaf count = 45

DSolve[Sin[x]*y[x] - (Sin[x] + Cos[x]^2*y[x])*Derivative[1][y][x] - (-Cos[x]^2 + Sin[x]*y[x])*Derivative[1][y][x]^2 + Sin[x]*Derivative[1][y][x]^3 == 0,y[x],x]
 

{{y(x)c1ex},{y(x)cos(x)+c1},{y(x)log(sin(x2))+log(cos(x2))+c1}} Maple : cpu = 0.059 (sec), leaf count = 32

dsolve(diff(y(x),x)^3*sin(x)-(y(x)*sin(x)-cos(x)^2)*diff(y(x),x)^2-(y(x)*cos(x)^2+sin(x))*diff(y(x),x)+y(x)*sin(x)=0,y(x))
 

y(x)=c1ex