4.46.29 \(y^{(n)}(x)=e^x x\)

ODE
\[ y^{(n)}(x)=e^x x \] ODE Classification

(ODEtools/info) missing specification of intermediate function

Book solution method
TO DO

Mathematica
cpu = 0.00496266 (sec), leaf count = 0 , could not solve

DSolve[Derivative[n][y][x] == E^x*x, y[x], x]

Maple
cpu = 0.034 (sec), leaf count = 0 , exception

unable to handle ODEs of undefined differential order

Mathematica raw input

DSolve[Derivative[n][y][x] == E^x*x,y[x],x]

Mathematica raw output

DSolve[Derivative[n][y][x] == E^x*x, y[x], x]

Maple raw input

dsolve(diff(y(x),[`$`(x,n)]) = x*exp(x), y(x),'implicit')

Maple raw output

unable to handle ODEs of undefined differential order