# İkinci Mertebe Doğrusal Denklemler

Canonical: https://manyspace.aporia.systems/tr/topics/second-order-linear-equations-mth-ode-188
Updated: 2026-10-13

Matematik · Differential Equations (ODE) · MTH-ODE-188

- Zorluk: 3 / 5
- Önem: 5 / 5
- Çalışma süresi: 3–6 sa

homogeneous with constant coefficients, reduction of order

## Neden önemli

The mathematical language of change in time: physics laws, engineering systems, populations, finance and control are mostly ODEs.

## Nerede kullanılır

Control systems, circuits, mechanical vibrations, radioactive decay, epidemic models, economic dynamics.

## Öğrendiğini nasıl anlarsın

Complete 3 independent examples correctly + explain common failure modes.

## Önce neye ihtiyacın var

- [Kısmi İntegrasyon](https://manyspace.aporia.systems/tr/topics/kismi-integrasyon-mth-calc2-140) (gerekli)
- [Doğrusal Birinci Mertebe ODE'ler](https://manyspace.aporia.systems/tr/topics/dogrusal-birinci-mertebe-ode-ler-mth-ode-186) (gerekli)
- [Gauss Eleme Yöntemi](https://manyspace.aporia.systems/tr/topics/gauss-eleme-yontemi-mth-linalg-155) (yardımcı)

## Neyi açar

- [Homojen Olmayan Denklemler](https://manyspace.aporia.systems/tr/topics/homojen-olmayan-denklemler-mth-ode-189)
- [ODE Sistemleri](https://manyspace.aporia.systems/tr/topics/ode-sistemleri-mth-ode-191)
- [Laplace Dönüşümleri](https://manyspace.aporia.systems/tr/topics/laplace-donusumleri-mth-ode-192)
- [Dalga Denklemi](https://manyspace.aporia.systems/tr/topics/dalga-denklemi-mth-pde-298)
- [Isı Denklemi](https://manyspace.aporia.systems/tr/topics/isi-denklemi-mth-pde-299)
- [Değişkenlere Ayırma Yöntemi](https://manyspace.aporia.systems/tr/topics/degiskenlere-ayirma-yontemi-mth-pde-301)
- [Schrödinger Denklemi](https://manyspace.aporia.systems/tr/topics/schrodinger-denklemi-phy-qm-107)
- [Harmonik Salıngan](https://manyspace.aporia.systems/tr/topics/harmonik-salingan-phy-qm-112)

## Kaynaklar

- Numerical Analysis (Burden & Faires) — Burden & Faires
- Elementary Differential Equations (Boyce & DiPrima) — Boyce & DiPrima
- Elementary Differential Equations (Boyce & DiPrima) — Boyce & DiPrima