ODE
\[ x^a y''(x)+y(x)^b=0 \] ODE Classification
[[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✗
cpu = 0.20267 (sec), leaf count = 0 , could not solve
DSolve[y[x]^b + x^a*Derivative[2][y][x] == 0, y[x], x]
Maple ✗
cpu = 6.42 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[y[x]^b + x^a*y''[x] == 0,y[x],x]
Mathematica raw output
DSolve[y[x]^b + x^a*Derivative[2][y][x] == 0, y[x], x]
Maple raw input
dsolve(x^a*diff(diff(y(x),x),x)+y(x)^b = 0, y(x))
Maple raw output
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