4.45.48 $3y^{‴}(x)+x{y}^{⁗}(x)=0$

ODE
$$3y^{‴}(x)+x{y}^{⁗}(x)=0$$ ODE Classification

[[_high_order, _missing_y]]

Book solution method
TO DO

Mathematica ✓
cpu = 0.00885721 (sec), leaf count = 25

$$\left\{\{y(x)\to x(c_{4}x+c_3)+\frac{1}{2}{c}_1\log (x)+c_2\}\right\}$$

Maple ✓
cpu = 0.011 (sec), leaf count = 18

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{3}x+\mathit{\_}\mathit{C}\mathit{4}{x}^2\}$$ Mathematica raw input

DSolve[3*y'''[x] + x*y''''[x] == 0,y[x],x]

Mathematica raw output

{{y[x] -> C[2] + x*(C[3] + x*C[4]) + (C[1]*Log[x])/2}}

Maple raw input

dsolve(x*diff(diff(diff(diff(y(x),x),x),x),x)+3*diff(diff(diff(y(x),x),x),x) = 0, y(x),'implicit')

Maple raw output

y(x) = _C1+_C2*ln(x)+_C3*x+_C4*x^2