title: Solve differential equation with SymPy
body: <p>I have the following differential equation that I would like to solve with SymPy</p>
  
  <p><a href="https://i.stack.imgur.com/bYuJG.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/bYuJG.png" alt="enter image description here"></a></p>
  
  <p>This differential equation has the implicit solution (with h(0) = [0,1) and t = [0, inf) )</p>
  
  <p><a href="https://i.stack.imgur.com/SwIaK.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/SwIaK.png" alt="enter image description here"></a></p>
  
  <p>but SymPy gives</p>
  
  <p><a href="https://i.stack.imgur.com/ABcvN.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/ABcvN.png" alt="enter image description here"></a></p>
  
  <p>which other packages such as Maxima are able to find. With SymPy I am unable, however. Is there a way to do so? My code is</p>
  
  <pre><code>import sympy as sp
  sp.init_printing(use_unicode=True)
  h = sp.symbols('h', function=True)
  t = sp.symbols('t')
  eq = sp.Eq(sp.Derivative(h(t),t), (1 - h(t))**sp.Rational(4,3) / h(t))
  sp.dsolve(eq)
  </code></pre>