ODE No. 1516

$$x^3{y}^{(3)}(x)+(x+3)x^2{y}^{″}(x)+5(x-6)x{y}^{\prime }(x)+(4x+30)y(x)=0$$ ✓ Mathematica : cpu = 261.508 (sec), leaf count = 15142

DSolve[(30 + 4*x)*y[x] + 5*(-6 + x)*x*Derivative[1][y][x] + x^2*(3 + x)*Derivative[2][y][x] + x^3*Derivative[3][y][x] == 0,y[x],x]
 

$$\text{Too large to display}$$ ✓ Maple : cpu = 0.332 (sec), leaf count = 188

dsolve(x^3*diff(diff(diff(y(x),x),x),x)+(x+3)*x^2*diff(diff(y(x),x),x)+5*(x-6)*x*diff(y(x),x)+(4*x+30)*y(x)=0,y(x))
 

$$y\left(x\right)=\frac{c_3{\mathrm{e}}^{-x}(x^8+28x^7+450x^6+5100x^5+42900x^4+267120x^3+1179360x^2+3326400x+4536000)\mathrm{expIntegral}(1,-x)+c_2(x^8+28x^7+450x^6+5100x^5+42900x^4+267120x^3+1179360x^2+3326400x+4536000){\mathrm{e}}^{-x}+60c_3(x^4-84x^3+2016x^2-20160x+75600)\ln \left(x\right)+c_3{x}^7+29c_3{x}^6+480c_3{x}^5+(c_1+5612c_3)x^4+(-84c_1+40152c_3)x^3+(2016c_1+654192c_3)x^2+(-20160c_1-2761920c_3)x+75600c_1+27367200c_3}{x^6}$$