Differential equations (Fall 2021) -- Session 03 -- Setting up; Terminology; Problems; Examples

0:00 Introduction
0:45 Setting up a differential equation related to tangent line
12:30 Setting up a differential equation from a word problem
19:57 Terminology (order, ODE vs PDE, normal form)
32:27 Problems (existence, uniqueness)
38:50 Example involving an asymptote in solution
49:21 Example where solutions cross each other
58:32 Differential equation with y'=f(x)
1:01:50 Example involving integration by parts
1:12:28 Example involving substitution
1:20:15 Example involving a second order problem

[rafiihsanalfathin]

56:26 if only two solutions crossing intead of all of them (at x=0 for example), can you still conclude y(-1) if the given initial condition y(2)=a for some arbitrary number a? (Sorry for my english)