Solving Differential Equations vs. Solving Algebraic Equations

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You will see a differential equation and an algebraic equation solved side by side. By comparing the solutions, you will discover a key difference between the solutions of differential equations and the solutions of algebraic equations. Hint: the solution to a differential equation is not a number; it's a function!

Specifically, you'll learn answers to the following questions.

1. What is the solution to the differential equation y'=cos(x)?
2. What is the solution to the algebraic equation x^2+5x+6=0?
3. Can you identify an important difference between the solutions to these two types of equations?

Additional Resources
To review the ideas in this video, try out the free "digital notecards" at the URL below.

I make one notecard for each video in the playlist. Each notecard contains a question or exercise that summarizes the content of the corresponding video.

The notecards can help you rapidly review what you've learned, especially if you haven't watched the videos in a while. You'll also find them helpful if you want to test your understanding right after you watch a video.

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Happy learning!
Greg at Higher Math Help

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hang on, is y a function of x? I don't think you mentioned it. Because otherwise the integral of y' dx is: y'x

captainpeglegable
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Hi Higher Math Notes. I wanna thank you for making these videos. The're really clean and well made, and your explanations are amazing. It's unfortunate that the math audience isn't that big for YouTube isn't that big because you really deserve to be a lot more popular.

area
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Numbers in Algebra wait that's illegal.
jk but we rarely saw numbers in Alegbra, mostly we saw them in linear algebra.

nanoatic
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thx bro. Jesus loves you. Believe in him and repent

balaportejean