Problem with separable differential equation

[nickme68]

SymPy can't solve without hints simple separable DE y ** 2 * y' = sqrt(y)

x = symbols("x")
y = Function("y")(x)
y_ = Derivative(y, x)
ode = Eq(y ** 2 * y_, sqrt(y))
dsolve(ode, y)

But it can be solved successfully with hint="separable" or using option simplify=False.
For this equation classify_ode returns following hints:

('factorable',
 'separable',
 '1st_exact',
 'Bernoulli',
 '1st_power_series',
 'lie_group',
 'separable_Integral',
 '1st_exact_Integral',
 'Bernoulli_Integral')

Problem with factorable hint?

[faze-geek]

Ping @oscarbenjamin .
I am working on this .What would be a good approach to deal with this issue !