ODE: Existence and Uniqueness of a Solution
www2.math.upenn.edu › ~kazdan › 202F13existence of a solution to equation (7) and hence our differential equation (1). Uniqueness There are several ways to prove the uniqueness of the solution of the initial value problem (1). None of them are difficult. We work in the interval [0, β] defined above. Say U~(t) and ~V (t) are both solutions. Let W~ (t) := U~(t) − V~ (t).