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MOOC MAT522: Chapter 3 Applications of First Order Linear Differential Equations

By tasnemjaaffar | Updated: March 4, 2025, 3:02 a.m.

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HELLO WONDERFUL STUDENTS OF:
MAT 522 - Ordinary Differential Equation
Let’s Review : Chapter 3
Presented by: 
Nur Tasnem Jaaffar
Applications of First Order Linear Differential Equations
Electric Circuits: RL and RC Circuits
Mixture of Solutions
There are 2 main subtopics we are going to cover
Let’s dive into each topic

Kirchhoff’s Second law: 
In any closed loop network, the total voltage around the loop is equal to the sum of all the voltage drops within the same loop 
Resistor-Inductor (RL) Circuit and Resistor-Capacitor (RC) Circuit
Electric Circuits: RL and RC Circuits
Subtopic 1:

If P(t) denotes the amount of salt in the tank at any time t, then the rate at which P(t) changes is a net rate give by 
Mixtures of Solutions
Subtopic 2:
There are many other applications of first order differential equations such as 
Population Growth, Radioactive Decay & Half-life  and Newton’s Law of Cooling  
COOL FACT:
Here are the required readings and assessments for this Lecture
Chapter 2 and 3 Notes
Hope you enjoyed the summary of
Additional Reading 
(for inquisitive minds)
Applications of First Order Linear Differential Equations
Chapter 2 and 3 Assessments 
Zill, D.G. & Cullen, M.R. (2018) Differential Equations with Boundary-Value Problems (9th Edition), Brooks/Cole: Thompson, Cengage learning.

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