4.45.12 $y^{⁗}(x)=x\cos (x)$

ODE
$$y^{⁗}(x)=x\cos (x)$$ ODE Classification

[[_high_order, _quadrature]]

Book solution method
TO DO

Mathematica ✓
cpu = 0.0351655 (sec), leaf count = 32

$$\left\{\{y(x)\to c_4{x}^3+c_3{x}^2+c_{2}x+c_1-4\sin (x)+x\cos (x)\}\right\}$$

Maple ✓
cpu = 0.023 (sec), leaf count = 29

$$\{y\left(x\right)=-4\sin \left(x\right)+x\cos \left(x\right)+\frac{x^3\mathit{\_}\mathit{C}\mathit{1}}{6}+\frac{x^2\mathit{\_}\mathit{C}\mathit{2}}{2}+\mathit{\_}\mathit{C}\mathit{3}x+\mathit{\_}\mathit{C}\mathit{4}\}$$ Mathematica raw input

DSolve[y''''[x] == x*Cos[x],y[x],x]

Mathematica raw output

{{y[x] -> C[1] + x*C[2] + x^2*C[3] + x^3*C[4] + x*Cos[x] - 4*Sin[x]}}

Maple raw input

dsolve(diff(diff(diff(diff(y(x),x),x),x),x) = x*cos(x), y(x),'implicit')

Maple raw output

y(x) = -4*sin(x)+x*cos(x)+1/6*x^3*_C1+1/2*x^2*_C2+_C3*x+_C4