4.1 Introduction to differential equations
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Introduction to differential equations

Lessons

Notes:
We say that:
y(x)=dydxy' (x) = \frac{dy}{dx} or y(t)=dydty'(t) = \frac{dy}{dt}

Where:
1. y(x)y'(x) is the first derivative of the function y in terms of xx.
2. y(t)y'(t) is the first derivative of the function y in terms of tt.
  • 1.
    Differential Equations Overview
  • 2.
    Finding the Order of a Differential Equation
    What is the order for the following differential equations?
  • 3.
    Verifying Solutions
    Show that the following functions is a solution to the differential equation:
  • 4.
    Finding a Particular Solution
    You are given the general solution as well as the initial condition. Find the particular solution which suits the following initial conditions:
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Introduction to differential equations

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