Solving ODE with sqrt

I tried to solve an ODE with a square root, but didn't manage. Can someone help me? This is the ODE:

Answer 1

[J Chen]

If you know how to solve an ODE in Matab, the problem might be negative values for the sqrt().

Answer 2

[Walter Roberson]

syms rho g h3 delta p A1 A2
syms h1(t)
lhs = diff(h1);
rhs = sqrt(2 * (rho * g * (h3 - h1) - delta*p)/(rho * (1-(A1/A2)^2)))

rhs(t) = 

eqn = lhs == rhs

eqn(t) = 

sol = simplify(dsolve(eqn))

sol = 

size(sol)

ans = 1×2

2 1

So assuming that none of the variables are implicit functions (such as h3 looks like it might be...), then there are two solutions. One of the two appears to include a boundary condition, but the other does not appear to include a boundary condition, which is a bit puzzling.