ODE
\[ 4 x y''(x)+4 \coth (x) y'(x)+y(x)=0 \] ODE Classification
[[_Emden, _Fowler]]
Book solution method
TO DO
Mathematica ✗
cpu = 0.944339 (sec), leaf count = 0 , could not solve
DSolve[y[x] + 4*Coth[x]*Derivative[1][y][x] + 4*x*Derivative[2][y][x] == 0, y[x], x]
Maple ✗
cpu = 2.077 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[y[x] + 4*Coth[x]*y'[x] + 4*x*y''[x] == 0,y[x],x]
Mathematica raw output
DSolve[y[x] + 4*Coth[x]*Derivative[1][y][x] + 4*x*Derivative[2][y][x] == 0, y[x], x]
Maple raw input
dsolve(4*x*diff(diff(y(x),x),x)+4*diff(y(x),x)*coth(x)+y(x) = 0, y(x))
Maple raw output
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