Films · Mathematics · Differential equations
Prof. Dr. Dirk Schieborn
Higher Mathematics 2 · Reutlingen University
Lecture film · Higher Mathematics 2
A Pen, a Sea of Strokes, a Truffle Pig: Initial Values, Direction Fields and Separation
Lecture film · Higher Mathematics 2
A Pen, a Sea of Strokes, a Truffle Pig: Initial Values, Direction Fields and Separation
Prof. Dr. Dirk Schieborn
Higher Mathematics 2 · Reutlingen University
A differential equation has infinitely many solutions. Initial values pick one, the direction field shows them all, and separation finds them with a formula.
heyprof.app/f/dgl-awp-separation-en
More films: Signature · Prof. Dr. Dirk Schieborn
We store questions without any link to you; selected ones appear anonymously as frequent questions.
A Pen, a Sea of Strokes, a Truffle Pig: Initial Values, Direction Fields and Separation
Prof. Dr. Dirk SchiebornHigher Mathematics 2 · Reutlingen UniversityAn explainer film in six chapters, made from a real lecture: why checking is easy and searching is hard, a pen falling from 30 metres and why a second-order equation needs exactly two initial values, initial versus boundary values for y″ + 9y = 0 and a guitar string, the direction field as a sea of strokes, the circle equation y′ = −x/y and separation of variables in four steps with the truffle pig. Pause anywhere and ask.
How a film works on heyprof
Every film here listens. Pause it, ask it questions and let it continue with your own examples.
- PauseTap pause or press the space bar. The film waits right at that moment.
- AskTap “Ask” and type what you want to know. The answer comes inside the film, with picture and voice.
- Steer itTell it what to show, for example “Do this with z = 2 − 3i”. The film sets up the app and works it out.
- Try it yourselfWhile it is paused, drag points and sliders yourself. “Continue” takes you back into the film.
Without an account: five questions per visit. With an account you can also ask by voice.
Comments