title: Any way to solve a system of coupled differential equations in python?
body: <p>I've been working with sympy and scipy, but can't find or figure out how to solve a system of coupled differential equations (non-linear, first-order). </p>
  
  <p>So is there any way to solve coupled differential equations?  </p>
  
  <p>The equations are of the form:</p>
  
  <pre><code>V11'(s) = -12*v12(s)**2
  v22'(s) = 12*v12(s)**2
  v12'(s) = 6*v11(s)*v12(s) - 6*v12(s)*v22(s) - 36*v12(s)
  </code></pre>
  
  <p>with initial conditions for v11(s), v22(s), v12(s). </p>