ODE No. 1529

$$y^{(3)}(x)(x+\sin (x))+3(\cos (x)+1)y^{″}(x)-3\sin (x)y^{\prime }(x)-y(x)\cos (x)+\sin (x)=0$$ ✓ Mathematica : cpu = 0.0844902 (sec), leaf count = 47

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

$$\left\{\{y(x)\to \frac{c_3{x}^2}{x+\sin (x)}-\frac{\cos (x)}{x+\sin (x)}+\frac{c_{2}x}{x+\sin (x)}+\frac{c_1}{x+\sin (x)}\}\right\}$$ ✓ Maple : cpu = 0.091 (sec), leaf count = 25

dsolve((sin(x)+x)*diff(diff(diff(y(x),x),x),x)+3*(cos(x)+1)*diff(diff(y(x),x),x)-3*sin(x)*diff(y(x),x)-y(x)*cos(x)+sin(x)=0,y(x))
 

$$y\left(x\right)=\frac{c_3+c_1{x}^2+x{c}_2-\cos \left(x\right)}{\sin \left(x\right)+x}$$