Separable First Order Differential Equations - Basic Introduction

This calculus video tutorial explains how to solve first order differential equations using separation of variables. It explains how to integrate the function to find the general solution and how to find the particular solution given the initial condition. This video contains plenty of examples and practice problems.

Antiderivatives:

Fundamental Theorem - Part 1:

Fundamental Theorem - Part 2:

Net Change Theorem:

Mean Value Theorem - Integrals:

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Average Value of a Function:

U-Substitution - Indefinite Integrals:

U-Substitution - Definite Integrals:

1st Order Differential Equations:

Initial Value Problem:

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Area Between Two Curves:

Disk and Washer Method:

Volume By The Shell Method:

Volume By Cross Sections:

Arc Length Calculus Problems:

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Calculus Final Exam and Video Playlists:

Full-Length Videos and Worksheets:

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The YouTube learning format is exponentially better than any other university learning format. It offers the opportunity to actually UNDERSTAND instead of MEMORIZING the material. With a few mouse clicks A lecture can be repeated until the problem is understood. It can also be paused to gain any necessary background information required to understand each step. Working out the reason for each step can take time, from minutes to days, which would not be possible in a traditional classroom.

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[elijk]

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[shotono]

At 1:00, he only adds C to the right side because when you integrate, on the left side there's a c1 and on the right there's a c2. When you subtract c1 from both sides, you get a c on the right side that isn't c1 or c2. I hope this helps, because I was wondering why he did that myself.

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