1. Differential Equations
A differential equation is an equation relating an unknown
function and its derivatives
The order of the differential equation
is the order of the highest derivative.
Ex. y' = 0 y' = y y' = 2xy y'' = -y
Ex. Find the solution(s) of the differential equation y' = y.
The solution of a differential equation is any
function that satisfies the equation.
Most differential equations have infinitely many solutions.
2. Solve each differential equation subject to the given initial conditions.
= 7 and if
a) b)
Intial Value Problems