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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.
Solve each differential equation subject to the given initial conditions.
= 7 and if
a) b)
Intial Value Problems

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Day 1 examples

  • 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