ODE
\[ \sqrt {x} y''(x)=y(x)^{3/2} \] ODE Classification
[[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✗
cpu = 21.9969 (sec), leaf count = 0 , could not solve
DSolve[Sqrt[x]*Derivative[2][y][x] == y[x]^(3/2), y[x], x]
Maple ✗
cpu = 4.21 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[Sqrt[x]*y''[x] == y[x]^(3/2),y[x],x]
Mathematica raw output
DSolve[Sqrt[x]*Derivative[2][y][x] == y[x]^(3/2), y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x)*x^(1/2) = y(x)^(3/2), y(x))
Maple raw output
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