Define carefully what is meant by: The function V(x,y) is a Liapunov function in a domain D (containing the fixed point at the origin) for the autonomous system associated with the vector field F = P(x,y) i + Q(j, x,y).Assume that P and Q have continuous partial derivatives in D.
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Q3: Describe the streamlines of the given velocity
Q4: Show that r(t) = Q5: Find the family of field lines Q6: Find parametric equations of the streamline of Q7: Find a vector parametric equation of the Q9: The function V(x,y) = 3 Q10: Use a suitable Liapunov function to show Q11: Use the Liapunov function V(x,y) = Q12: Show that the fixed point at the Q13: The Liapunov function V(x,y) = 2 
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