ODE
\[ a m x^{m-1} y(x)+a x^m y'(x)+y^{(n)}(x)=0 \] ODE Classification
(ODEtools/info) missing specification of intermediate function
Book solution method
TO DO
Mathematica ✗
cpu = 0.00617477 (sec), leaf count = 0 , could not solve
DSolve[a*m*x^(-1 + m)*y[x] + a*x^m*Derivative[1][y][x] + Derivative[n][y][x] == 0, y[x], x]
Maple ✗
cpu = 0.034 (sec), leaf count = 0 , exception
unable to handle ODEs of undefined differential order
Mathematica raw input
DSolve[a*m*x^(-1 + m)*y[x] + a*x^m*y'[x] + Derivative[n][y][x] == 0,y[x],x]
Mathematica raw output
DSolve[a*m*x^(-1 + m)*y[x] + a*x^m*Derivative[1][y][x] + Derivative[n][y][x] == 0, y[x], x]
Maple raw input
dsolve(diff(y(x),[`$`(x,n)])+a*x^m*diff(y(x),x)+a*m*x^(m-1)*y(x) = 0, y(x),'implicit')
Maple raw output
unable to handle ODEs of undefined differential order