# Boundary Value Problems/Lesson 2

--First Order Differential Equation -- If the function ${\displaystyle F(t,y)}$ is continuous in the variable ${\displaystyle t\in \{t_{0}-\delta ,t_{0}+\delta \}}$ and uniformly Lipschitz in the variable ${\displaystyle y}$ ${\displaystyle {\frac {dy(t)}{dt}}=F(t,y(t))}$