We continue with our series of Student Lectures with this first lecture in the 2nd year Course on Differential Equations. Professor Philip Maini begins with a recap of the previous year's work before moving on to give examples of ordinary differential equations which exhibit either unique, non-unique, or no solutions. This leads us to Picard's Existence and Uniqueness Theorem... This latest student lecture is the fifth in our series shining a light on the student experience in Oxford Mathematics.  The full course overview and materials can be found here: https://courses.maths.ox.ac.uk/node/44002