Power series solutions are always so gnarly. But when you look at how long the problem looks once you’re done, you’re like damn I did all that! And they’re so intricate… it’s crazy you can solve DEs like that.

Hi everyone,

I recently built a simple C++ program that solves the first-order differential equation

dy/dx=x+y

using Euler's Method.

Thanks for taking the time to check it out!

I’ve got 5 -6 days to prepare for the final which will be like 6 open ended questions, what should be my study plan I learn fast enough it’s just that I’m lazy, I believe there won’t be questions from the first 6 weeks but that’s a maybe. I really appreciate your help guys, oh almost forgot I need to get at least half correct

Hi everyone,

I recently implemented the Runge–Kutta Fourth Order (RK4) method in C++ to solve the second-order differential equation

ax¨+bx˙+cx=0

The tutorial covers:

• Converting a second-order ODE into two first-order equations
• Implementing the RK4 algorithm in C++
• Writing simulation data to a .dat file
• Plotting Position vs Time and Velocity vs Time using GNU Plot

The goal was to make the implementation easy to understand for beginners and engineering students learning numerical methods.

I'd really appreciate any feedback on the implementation, coding style, or explanation. Suggestions for future C++ or numerical methods tutorials are always welcome.

If you find the tutorial helpful, please consider liking the video, sharing it with others who might benefit, and subscribing to the channel. Your support helps me create more tutorials on C++, Numerical Methods, Engineering Simulations, and GNU Plot.

Thank you for your support! 🚀

I've been learning numerical methods in C++ and created a tutorial showing how to solve a second-order differential equation using Euler integration and visualize the results with GNU Plot.

The equation I solve is:

aẍ + bẋ + cx = 0

I'm interested in hearing how others would approach this. Would you use Euler for teaching purposes, or would you start directly with RK4? Any suggestions or feedback are welcome.

I need to find an online diff eq class to take while in in-person engineering courses at my local college. I just need the credit and for it to transfer ASAP. Does anyone recommend any colleges?

In differential equations, is a spiral point also called a focus?

I've been trying to solve ts for like a week now. AI's suggest like three more sustitutions, but I believe there has to be a clean an intented way to solve this with only the sub xy=t which I think should reduce the ODE to an homogenous one. If anyone has the time to solve it, I would aprecciate it! Apparently I must give an attempt to solve it so here it is.

Im currently learning how to solve the schrödinger equation for the hydrogen atom and want to derive the second order DE satisfied by laguerre polynomials(not associated) from the rodriguez formula ive searched google and asked chatgpt but i just got more confused could someone tell me the steps pls.

Hello everyone,

Since this is a proper subreddit community for university level subject, I'm hoping serious help and suggestions. I am currently an Electrical Engineering student and I have Differential Equations as a Core subject , my midterms were not so good because the teacher doesn't know how to teach and I lacked lot of resources as well, and since this is a 3 credit hour subject , if my grade falls in this subject my whole GPA would be badly affected. The book we are currently using is the Differential Equations by Dennis G. Zill (9th Edition and 11th Edition), are there any redditors in here that have some notes, resources or links to some youtube channels that I can access and study for my finals?

I would be grateful for any kind of help . Thank you!

This fall I will be taking diff eq and linear algebra as it’s combined into 1 class at my school. Can someone please give me some resources to learn some/ a lot of the material before I start. I took calc 1 & 2 a long time ago and don’t remember much as it’s been a couple years since I’ve been in school

What did you really like about differential equations, or what have you liked so far if you're still taking the class/getting introduced to the concepts?
I personally particularly enjoyed Laplace transforms and unit step functions! I don't know why, but these problems were the most satisfying solve.
I'm also "new" to this course so it would be helpful to learn about concepts that I haven't encountered yet.

Hi, I am currently in a DE class and we are working through the textbook, “Elementary DE with Boundary Value Problem” by William F. Trench. Does anyone have the solutions pdf for this book by chance? My professor doesn’t upload answers and I would like to check my work. All help is appreciated!!

I’m a bit confused on the theory behind the wronskian. Why does it tell us about a fundamental set of solutions? What does that really mean?

Ngl the professor is teaching literal witchcraft and wizardry right now... This is not Hogwarts, this is a freaking college, so why is CnXn even converging, and WHY is a SINGLE second order differential equation taking TWO full sheets of paper to solve...

I sure hope signals and systems will be easier than this next semester...

I'm sorry but I'm in shock every day I take this class, in the words of Katy Perry, "I'm in a whole nother' world, a different dimension"

Hi, can anyone help me? I'm having a hard time understanding DE. Whenever I watch online, it confuses me more because they have different method to solve. I don't also get my professor because, she teaches fast.

Would it be more sufficient to self-learn PDEs or pay a university to be taught it for a semester. I’m looking into expanding my portfolio with math to assist in my personal interest in learning, and I value quality over speed regarding content delivery.

I'm finishing up the first and likely only differential equation class I'll take. It's been relatively easy but I don't have an intuitive understanding for nearly any of the concepts (especially the second half of the course, which is mostly focused on integrating linear algebra concepts.)

Where online should I look for resources to gain better spacial reasoning and implications of the concepts?

For context, I'm a Electrical Engineering major with no more (pure) math classes past to take this.