Weeks 1–3 – First-order differential equations
2- Ayrılabilir denklemler · 3- Ayrılabilen denkleme indirgenebilen denklemler · Aşağıdaki dönüşümler lazım olabilir · 4- Homojen denklemler · Lineer Denklemler · Bernoulli Denklemi
Differential Equations MAT215 Lecture Notes
Diferansiyel Denklemler — ders notları, çıkmış sorular · Gebze Teknik Üniversitesi (GTÜ) Elektronik Mühendisliği
First-order equations, higher-order linear equations, the Cauchy–Euler equation, reduction of order, series solutions and the Laplace transform.
Birinci mertebeden denklemler, yüksek mertebeden lineer denklemler, Cauchy–Euler denklemi, mertebe indirgeme, seri çözümleri ve Laplace dönüşümü.
- Semester 3 · Fall 2022–23
- 6 lecture notes
- 17 recitation notes
- 13 digital notes
- 7 past exams
On this page: General Lecture notes Recitation notes Digital notes (LaTeX) Past exams
Most files are in Turkish; file and folder names are shown as they appear in the repository.
General
Lecture notes
Recitation notes
- uygulama 1 ders ek dersDigital version
- diff 2.ders 1 haftaDigital version
- difdenk 3.ders 2.haftaDigital version
- 4 ders duzeltilmis
- diff 5 ders
- diff 6.ders
- diff 7 ders
- 8.hafta dif ve tekrar
- 8 hafta diff uygulama ilk iki soru cozuldu
- DIF uygulama 9 haftaDigital version
- 10.haftaDigital version
- diff ugulama 10 hafta
- diff 11 hafta uygulama
- diff 12 hafta
- dif 13Digital version
- dif14Digital version
- dif15Digital version
Digital notes (LaTeX)
Searchable digital versions of the handwritten notes, typeset in LaTeX (the notes are written in Turkish). Template and build: latex-sablon.
Notice: The digital notes were created from the handwritten notes with the help of Claude (Anthropic); they are meant as a supplementary resource and may contain errors. Always rely on the original notes and the official course materials.
Week 1 – Introduction to differential equations (theory)
Diferansiyel denklemler · 1.21.2 Cauchy Problemi (veya başlangıç değer problemi) · 22 Ayrılabilir denklemler · 33 Ayrılabilen denkleme indirgenebilen denklemler · 44 Homojen denklemler
Weeks 4–6 – Physical problems, existence–uniqueness, Picard, Wronskian, constant-coefficient equations
Mekanik ve fizik problemlerinin Diferansiyel Denklemlere dönüştürülerek çözülmesi · (1) Newtonun ikinci kuralı · (2) Oran problemleri (Radyoaktif parçalanma ve popülasyon) · (3) Karışım problemleri · Soğuma Problemleri · Varlık ve teklik
Week 9 – Euler equations, reduction of order, introduction to series solutions
Mertebenin indirgenmesi · Diferansiyel Denklemlerin Seri Çözümleri · Analitik fonksiyonlar
After the midterm – Cauchy–Euler, reduction of order, series solutions, Laplace, convolution theorem
Cauchy-Euler denkleminin çözülmesi · Mertebelerin indirgenmesi · Hatırlatma · Serisel Çözümler · Adi nokta civarında çözüm yolu · Forbenius yöntemi
Week 1 Recitation (session 2) – Separable and homogeneous equations
Hatırlatma · Alıştırmalar
Week 2 Recitation (session 3) – Linear, Bernoulli and Riccati equations
Hatırlatma · Alıştırmalar
Week 9 Recitation – Cauchy–Euler equation and reduction of order
Hatırlatma · Alıştırmalar
Week 12 Recitation – Convolution and the Laplace transform
Hatırlatma · Alıştırmalar
Week 13 Recitation – Systems of differential equations
Hatırlatma · Alıştırmalar
Week 14 Recitation – Repeated eigenvalues and systems
Hatırlatma · Alıştırmalar
Past exams
Other courses this semester
Circuit Theory I · Circuit Theory I Laboratory · Electronic Devices · English · Numerical Analysis · Turkish I
Open the folder on GitHub← Semester 3
Course materials belong to their instructors and GTU and are shared for educational purposes only.