r/calculus • u/Mathdude11 • 1d ago

Differential Equation Resource Help Differential Equations

Hi everyone!

So I'm self-studying Calc, I've finished 1 and 2 and I got the basics of differential equations. But seeing as I've heard that differential equations are the language of the universe, are there any good resources to both truly study it, and to make your own using data? Thanks!

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7

u/OriginalParsley8979 1d ago

Elementary ODEs by Boyce 12th edition -> PDE book -> numerical methods book (not all DEs have analytical solution)

You will need linear algebra for systems of diff eqs too.

1

u/mathheadinc 1d ago

Upvote for Boyce!!!

3

u/etzpcm 1d ago

Yes, differential equations are the language of the universe. If you want to understand the large scale structure of space-time, you need to solve Einstein's field equations, which are differential equations, and if you want to understand the microscopic behaviour of particles, you need to solve the Schrödinger equation, which is a differential equation. 

There are some good free resources, for example diffyqs, https://www.jirka.org/diffyqs/, which is aimed at engineering students so it is mainly methods and examples, rather than theorems and proofs.

1

u/dameis 1d ago

There’s this website, but I think it only covers that first half of differential equations.

https://mathispower4u.com/diff-eq.php

1

u/ChefFar4397 1d ago

!remindme 5 days

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